The present ages (in years) of A and B are in the ratio of 3 : 4. Five years back, the ratio of their ages was 2 : 3. What is the present age (in years) of A?

Question

Accepted Answer

Let the present ages of A and B be 3x and 4x respectively.

Five years back, their ages were (3x - 5) and (4x - 5).
According to the problem, the ratio of their ages five years back was 2 : 3.

So, (3x - 5) / (4x - 5) = 2 / 3
Cross-multiplying:
3(3x - 5) = 2(4x - 5)
9x - 15 = 8x - 10
9x - 8x = -10 + 15
x = 5

Therefore, the present age of A = 3x = 3 * 5 = 15 years.

Answer

Answer

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