18 years ago, the ratio of A' s age to B's age was 8:13. Present ratio of their ages is 5:7. What is the present age of B?

90 years

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70 years

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60 years

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50 years

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None of these

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Solution

The correct option is B 70 years
$8 x + \frac{18}{13} x + 18 = \frac{5}{7}$
56x + 126 = 65x + 90
9x = 36
x = 4
$B = 13 \times 4 + 18 = 70$

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18 years ago, the ratio of A' s age to B's age was 8:13. Present ratio of their ages is 5:7. What is the present age of B?

The correct option is B 70 years8x+1813x+18=57 56x + 126 = 65x + 90 9x = 36 x = 4 B=13×4+18=70

The correct option is B 70 years
$8 x + \frac{18}{13} x + 18 = \frac{5}{7}$
56x + 126 = 65x + 90
9x = 36
x = 4
$B = 13 \times 4 + 18 = 70$