UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕

Take Quantitative Aptitude from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Book a Free Demo

Quantitative Aptitude > Learn Quantitative Aptitude > If the sum of two numbers & their LCM is 79.Then how...
✕

Search in

If the sum of two numbers & their LCM is 79.Then how many possible set of numbers can satisfy above equation.

Asked by Last Modified  

13 Answers

Learn Quantitative Aptitude

Follow 1
Answer

Please enter your answer

Mentor - GMAT | CAT | IIT alum

Hi Sathya - there are a set of solutions - Let the numbers be A and B and their LCM be L and HCF be H. Thus, A and B are multiples of H. Let A=H*p; B=H*q. Thus, L=H*p*q; where p and q are co-prime. Hence, H*p + H*q + H*p*q = 79=> H(p + q + pq) = 79 Since 79 is prime, H = 1 and p + q + pq...
read more
Hi Sathya - there are a set of solutions - Let the numbers be A and B and their LCM be L and HCF be H. Thus, A and B are multiples of H. Let A=H*p; B=H*q. Thus, L=H*p*q; where p and q are co-prime. Hence, H*p + H*q + H*p*q = 79=> H(p + q + pq) = 79 Since 79 is prime, H=1 and p + q + pq=79 add 1 to both sides: 1 + p + q + pq=80 => (p + 1)(q + 1) = 80 the solutions are: p+1 = 2, q+1 = 40=> p=1, q=39 => A=1, B=39, L=39 p+1 = 4, q+1 = 20=> p=3, q=19 => A=3, B=19, L=57 p+1 = 5, q+1 = 16=> p=4, q=15 => A=4, B=15, L=60 p+1 = 8, q+1 = 10=> p=7, q=9 => A = 7, B = 9, L = 63 Thus, there are 4 pairs. :) read less
Comments
Dislike Bookmark

Concatenation of the two numbers 7 & 9. Can you please check and tell if any other number satisfy the mathematical problem(equations) qiven by Sujoy ------------------------------------------------------------ Hi Srikanth, Please can you tell me -
Comments
Dislike Bookmark

QT & DI is now a cake walk.

Only 3 such pairs exist (7,9) (4,15) (19,3) only.
Comments
Dislike Bookmark

Help to understand Mathematics in a Better way

Hi No set of values satisfy both the equations. 79 is a prime number. the factors of 79 are 1,79 LCM of 79,79 is 79 but its sum is 79+79=158 LCM of 79,158 is 79 but its sum is 79+158=237 If two numbers has LCM as 79 then its sum is not 79 but will be alteast 158 lets say LCM a, b...
read more
Hi No set of values satisfy both the equations. 79 is a prime number. the factors of 79 are 1,79 LCM of 79,79 is 79 but its sum is 79+79=158 LCM of 79,158 is 79 but its sum is 79+158=237 If two numbers has LCM as 79 then its sum is not 79 but will be alteast 158 lets say LCM a, b is 79 then both a,b are multiples of 79 (minimum value of both a & b is 79) the minimum value of a+b is 158(a=b=79) a=79,b=79,158 a+b =158+79=3*79 LCM of 79,158 is 79 a=79,b=474 LCM of 79,474 is 79. 79+474 is 553 Thus no set of values will satisfy both the equations However there infinitely many values for each of the equations. The sum of infinite set of values give 79 like 45+34, 80+-1(80,-1) ans so on. Also LCM of 79,a*79 is 79 where a is non-zero positive number Thanks & Regards Sathya Narayanan K read less
Comments
Dislike Bookmark

Help to understand Mathematics in a Better way

Hi Sujoy & Mukesh, I thank both of you for your reply and answering the questions briefly. The questions you have answered varies only slightly. The answer to the third variation is given by me(even though wrongly answered according to the question). ------------------------------------------------------------ hi...
read more
Hi Sujoy & Mukesh, I thank both of you for your reply and answering the questions briefly. The questions you have answered varies only slightly. The answer to the third variation is given by me(even though wrongly answered according to the question). ------------------------------------------------------------ hi sujoy, You are right , however i interpreted the sum of two numbers and its lcm to be the same number(ie 79) ,which led to wrong answer. but Mukesh has replied to my answer (which has another interesting mathematical problem) can you check if any other number satisfies the mathematical problem(equations) qiven by Mukesh ----------------------------------------------------------------------------------------------------- Hi Mukesh The question must be stated as below(as per your reply) Q the sum of two numbers & its lcm be equal to concatenation of two numbers then list the set of such numbers for ex lcm of 7,9 is 63 ----1 7 +9 =16 -----2 adding 1 & 2 we get 1 eq + 2 eq = 79 ----3 3 equations equals the concatenation of the two numbers 7 & 9. Can you please check and tell if any other number satisfy the mathematical problem(equations) qiven by Sujoy ------------------------------------------------------------ Hi Srikanth, Please can you tell me does fractions satisfy the solutions to mathematical problem stated by Sujoy or Mukesh or both Thanks & Regards Sathya Narayanan K read less
Comments
Dislike Bookmark

Best Institute For Competitive Exams

NET/SLET/SET shall remain the minimum eligibility condition for recruitment and appointment of Assistant Professors in Universities/Colleges/Institutions. Provided however, that candidates, who are or have been awarded a Ph. D. Degree in accordance with the University Grants Commission (Minimum Standards...
read more
NET/SLET/SET shall remain the minimum eligibility condition for recruitment and appointment of Assistant Professors in Universities/Colleges/Institutions. Provided however, that candidates, who are or have been awarded a Ph. D. Degree in accordance with the University Grants Commission (Minimum Standards and Procedure for Award of Ph.D read less
Comments
Dislike Bookmark

QT & DI is now a cake walk.

Sathya, I appreciate your efforts to throw light on my question..but its not necessary to be such pairs as prime but yes it has to be coprime. As you can see that only 3 pairs (7,9) (4,15) & (19,3) exist...lets take example of (7,9)..the addition of both numbers is 16 & their LCM is 63 so if you add...
read more
Sathya, I appreciate your efforts to throw light on my question..but its not necessary to be such pairs as prime but yes it has to be coprime. As you can see that only 3 pairs (7,9) (4,15) & (19,3) exist...lets take example of (7,9)..the addition of both numbers is 16 & their LCM is 63 so if you add 16 & 63 you will get 79 as your answer which satisfy above equation..for rest two you can also check at your own & you will get the same answer.. read less
Comments
Dislike Bookmark

Correctly answered Mukesh .. 3 such pairs are possible 7,9; 15,4; and 19,3
Comments
Dislike Bookmark

Brain Trainer

Interesting question and nicely answered by Sujoy.
Comments
Dislike Bookmark

3 such pairs are possible 7,9; 15,4; and 19,3
Comments
Dislike Bookmark

View 11 more Answers

Related Questions

If there are 5 balls in a basket and 5 persons each has to take one ball each only and what is the chance that when I go there I could not find the basket?
0
S. Santosh Kumar
In how many ways the letters of the word mississippi be arranged?
34650
Sujit Gupta
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, in how many days they can complete the work?
If A can finish work in x days, B takes x+60 Days. So their rate of work is 1/x and 1/(x+60) respectively. Further, 1/x = 3 (1/x+60). So, x = 30. If they work together, their rate of work is 1/30 + 1/90...
Learn Unwired
What will be the remainder when 47 to the power 47 is divided by 144 in base 12? Answer should be in base 12.
Try to solve it by yourself. The answer should be 7A. If you are unable to solve it, I will be happy to provide you with detailed solution but first give it a try yourself.
Abhijeet Kumar Sinha
1 0
5
What is the easy process to learn aptitude reasoning arithmetic and all
WITHOUT COACHING YOU NEED TO HAVE INTEREST
Sahithya

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Greek words used in English Language
Dogma (noun) (established belief or set of principles held by a religion, ideology or by any organization) Eureka (interjection) (I have found!) (Archimedes) While taking a bath, he suddenly realized...
V

Vidussi S.

0 0
0
Shortcuts For Aptitude : (Topic - Average)
Important Things To Remember: Replacement case: Weight of new person = Weight of outgoing person + No of person (inc in average) Weight of new person = Weight of outgoing person - No of person...

Nirmal Kumar R

1 0
0
CONCEPTUAL CLARITY
WHILE STUDYING ANY TOPIC MAKE SURE THAT AVOID MULTIPLE SOURCES. INSTEAD PICK UP ONE STANDARD SOURCE AND THE CONTENT OF WHICH YOU CAN COMPREHEND. READ IT MULTIPLE TIMES...FRAME A PICTURE IN MIND....ANALYSE...

Nimesh Singhvi

4 0
0
Aptitude Puzzle
When the price of wheat was increased by 32%, a family reduced its consumption in such a way that the expenditure on wheat was only 10% more than before. If 30kg were consumed per month before, find the...

Surendra Reddy Ankireddypalli

0 0
0
Average and Alligation
Averages Basic Formulae for average of n numbers x1, x2, x3....xn is given by An=(x1+x2+x3+.........xn)/n=Total of n numbers/n This also means that (An)*n =Total of the numbers Average of sum of first...
A

Advays Classes

0 0
0

Recommended Articles

Bank P.O Exam Guide

Bank P.O is one of the most talked about examination for bank recruitment in India. P.O stands for Probationary Officer which is an entry level position in banks, which are especially for fresh graduates or a person without any prior experience. The probation period for Bank P.Os is generally 2 years in which they’re trained...

Read full article >

Hurry up! Apply for Government Jobs before...

There are a number of exciting upcoming government jobs in India for you. Just check out the links and apply for relevant jobs. Open Positions: Position Name Dept./Org. Vacancies Last Date Info. Link LDC, Steno, Driver, MTS, Ayah, Cook IAF 140 30-03-2015 http://bit.ly/1C1zjAM Technician,...

Read full article >

10 Tricks to Remember What You Studied

It is not true that every student is lethargic and loves to be the couch potato. Some students do put immense effort for their examinations. Where some book-worms study day in and out without a break, with an ultimate objective to crack the competitive examination or to score the highest mark. But, the saddest part is that,...

Read full article >

Revision Techniques to Improve Learning during...

Students Preparing for Exams are always bogged by Revision to be completed and how much to Revise. I had found these Revision Techniques to be profound in actual getting good exams scores during my school days. Let us see what effective Revision Techniques can be used to improve Learning 1) If Time is King, an...

Read full article >

Find Quantitative Aptitude Coaching near you
Quantitative Aptitude Coaching in Hyderabad
Quantitative Aptitude Coaching in Bangalore
Quantitative Aptitude Coaching in Delhi
Quantitative Aptitude Coaching in Chennai
Quantitative Aptitude Coaching in Pune
Quantitative Aptitude Coaching in Mumbai
Quantitative Aptitude Coaching in Gurgaon
Quantitative Aptitude Coaching in Kolkata
Quantitative Aptitude Coaching in Jaipur
Quantitative Aptitude Coaching in Chandigarh

Looking for Quantitative Aptitude Coaching?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Quantitative Aptitude Classes?

The best tutors for Quantitative Aptitude Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Quantitative Aptitude with the Best Tutors

The best Tutors for Quantitative Aptitude Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more

ThinkVidya Learning Pvt Ltd © 2010-2024All Rights Reserved