Nirmal J Sabu

UNDER STANDING CONCEPT OF QUESTION,

the question says the ratio of P and Q's current age is 5:7

so, what are the possible ages, 1)5 and 7   (5*1 and 7*1)

                                              2)10 and 14 (5*2 and 7*2)

                                              3) 15 and 21 (5*3 and 7*3)

                                              4) 20 and 28 (5*4 and 7*4)

                                               etc.

            in equation form it can be written as 5x and 7x.

the possible ages after 6 years 1) 5+6 and 7+6

                                             2) 10+6 and 14+6

                                             etc.

in mathematical equation form this can be written as 

                                         5x+6 and 7x+6

now the final part of question comes, it says that the difference between Q’s present age and P’s total age after 6 years is 2 , so we will have to among which of the above cases the difference is 2,

                              Q’s preset age = 7x ( possible ages are 7, 14, 21 etc)

                              P’s age after 6 years= 5x +6 ( possible ages 11, 16,21 etc)

Difference  7x - (5x+6) =2x-6

Since according to question the difference id 2,

                               2x-6=2

                                2x=8

                                  X =4

The gives the age of P as 5x = 20

                              Q as 7x = 28

Now the sum of age of P and Q is = 5x+ 7x= 20+28 = 48