Question

The ages of AandB are in the ratio of 9:4.seven years hence the ratio of their ages will be 5:3.find their present ages

Answer 1

Let their ages be 9x and 4x.
By the problem,
9x+7/4x+7 = 5/3
3(9x+7) = 5(4x+7)
27x+21 = 20x+35
27x-20x = 35-21
7x = 14
x = 14/7
x = 2

A's age = 9x = 9*2 = 18
B's age = 4x = 4*2 = 8

Answer : A is 18 years old and B is 8 years old.

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Answer 2

a s - ages - 18 years and B's age - 8 years