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The ratio between the present ages of A and B is 4 : 5. If the ratio between their ages 4 yr hence becomes 14 : 17, then what is B's age at present?
A) 30 yr
B) 28 yr
C) 34 yr
D) Data inadequate
Correct answer:
A) 30 yr
Description for Correct answer:
Let the ages of A and B are 4x and 5x yr, respectively.
According to the question
\( \large\frac{4x + 4}{5x + 4} = \frac{14}{17} \)
68x + 68 = 70x + 56
2x = 12 = > x = 6
Hence, present age of B = 5 x 6 = 30 yr
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