Question

7 yr ago, the ages of A and B were in the ratio 4 : 5 and 7 yr hence, they will be in the ratio 5 : 6. The present age of A and B is ??

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Answer 1

Given :-

7 yr ago, the ages of A and B were in the ratio 4 : 5 and 7 yr hence, they will be in the ratio 5 : 6.

To Find :-

Present age of A and B

Solution :-

Let the age of A and B be 7 years ago be 4x and 5x

After 7 years their ages will be present age

Present age of A = 4x + 7

Present age of B = 5x + 7

After 7 year

Age of A = 4x + 7 + 7 = 4x + 14

Age of B = 5x + 7 + 7 = 5x + 14

Now

4x + 14/5x + 14 = 5/6

6(4x + 14) = 5(5x + 14)

24x + 84 = 25x + 70

24x - 25x = 70 - 84

-x = -14

x = 14

Present age of A = 4(14) + 7 = 56 + 7 = 63 years

Present age of B = 5(14) + 7 = 70 + 7 = 77 years

Answer 2

Answer:

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