The ratio between the ages of A and B at present is 2 : 3. Five years hence the ratio of their ages will be 3 : 4. What is the present of A?

10 years
15 years
25 years
Data inadequate

Correct Answer: 10 years

Explanation:

Let the ages of A and B be 2x and 3x years respectively.
From question, (2x + 5) / (3x + 5) = 3 / 4
⇒ 4(2x + 5) = 3(3x + 5)
⇒ x = 5
&ther4; A's present age = 2x = 10 years

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