Sunil and his father's age is in the ratio 3:7. Four years hence, the sum of their ages will be 78 years. Find Sunil's age.

18 years

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42 years

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21 years

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49 years

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Solution

The correct option is C
21 years

Let Sunil's age be 3x and his father's age be 7x.

Four years hence
Sunil's age = 3x + 4
Father's age = 7x + 4

Sum of their ages
= 3x + 4 + 7x + 4
= 10x + 8

Given that
10x + 8 = 78
10x = 70
x = 7

Sunil's age = 3 × 7 = 21 years
His father's age = 7 × 7 = 49 years

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Sunil and his father's age is in the ratio 3:7. Four years hence, the sum of their ages will be 78 years. Find Sunil's age.

The correct option is C 21 years Let Sunil's age be 3x and his father's age be 7x. Four years hence Sunil's age = 3x + 4 Father's age = 7x + 4 Sum of their ages = 3x + 4 + 7x + 4 = 10x + 8 Given that 10x + 8 = 78 10x = 70 x = 7 Sunil's age = 3 × 7 = 21 years His father's age = 7 × 7 = 49 years