The age of Sunil and his father are in the ratio 3:7. Four years later the sum of their ages will be 78 years. Which of the following represents the present age of either Sunil or his father?

24 and 56 years

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18 and 42 years

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21 and 49 years

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27 and 63 years

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Solution

The correct options are
C
21 and 49 years

D
27 and 63 years

Let the age of Sunil = 3x

Then age of Sunil's father = 7x

Four years later the sum of their ages = 3x + 4 + 7x + 4 = 10x + 8
Given that, 10x + 8 = 78

10x = 70,

x = 7

Present age of Sunil = 3 × 7 = 21 years

Present age of Sunil's father = 7 × 7 = 49 years

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