4 years ago the ratio of ages of A and B was 9 11 and 6 years hence the ratio of ages of A and B wil...........

Quantitative Aptitude (SBI-PO) Problems based on Ages

4 years ago, the ratio of ages of A and B was 9 : 11 and 6 years hence, the ratio of ages of A and B will be 7 : 8. Find the present age of B.

22 years

24 years

26 years

37 years

None of these

Let the ages of A and B be 9X and 11X, then

According to the question:

$\frac{9x+10}{11x+10}=\frac{7}{8}$

⇒ 72X + 80 = 77X + 70

⇒ X = 2

Hence, the present age of B = 11X + 4 = 22 + 4 = 26 years

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