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Class 10 > Learn Exercise 4.3 > The difference of squares of two numbers is 180. The...
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The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers

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Quantitative aptitude and logical reasoning trainer with more than 6 months of experience.

Supoose two numbers are a and b. ........(1) And ...........(2) Put the value of equation (2) in equation (1) , , , (a+10) (a-18) =0, a= -10 is not possible because cannot be negative , so a= 18 and b= 12. Therefore the larger number is 18 and the smaller number is 12.
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Supoose two numbers are a and b.

........(1)

And   ...........(2)

Put the value of equation (2) in equation (1) ,

,

,

(a+10) (a-18) =0,

a= -10 is not possible because  cannot be negative , so 

a= 18 and b= 12.

Therefore the larger number is 18 and the smaller number is 12.

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Maths and Science Grade 8-10 SSC and CBSE tuitions

Smaller no..12 Larger no ...18
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Computer & maths teacher experience 8years in icse and cbse board

One number is 18 and another 12
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A NIT Graduate Teacher with passion to Teach and uplift the Students.

18 and 12
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An Engineer

According to the problem statement: ________(i) ________(ii) Putting the value of in equation (i) we get
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According to the problem statement: ________(i)

________(ii)

Putting the value of  in equation (i) we get 

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Professional Structural Designer

x2-y2=180 y2= 8 x2-8x-180=0 x=18 y2=18*8=144 y= 12 18,12 and 18,-12
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Best Tuition for CBSE 10 Class Maths!

x=18, y=12
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B.Tech, M.Tech, Delhi, 15 yrs teaching experience engineering maths expert

18 and 12
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Two Numbers are: larger: 18, smaller 12
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