Q97 of 113 Page 110

The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

Let age of B = x

Let age of A = x + 5


5 years ago, the ratio was 3:2


According to the question




(by cross multiplication)


3x = 2x + 10


3x-2x = 10


x = 10


Age of B = 10 years


Age of A = 10 + 5 = 15 years


5 years later,


Age of B = x + 5 = 10 + 5 = 15 years


Age of A = x + 5 + 5 = 10 + 10 = 20 years


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