The ages 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 Sunil’s father?

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Solution

The correct option is B 49
Let the age of Sunil be 3x.
Then the age of Sunil's father would be 7x.
Four years later,
Age of Sunil = 3x + 4
Age of Sunil's father = 7x + 4

The sum of their ages 4 years later = 3x + 4 + 7x + 4 = 10x + 8
Given that,
The sum of their ages 4 years later = 78 years.
So, 10x + 8 = 78
10x = 70
x = 7

Hence,
The present age of Sunil = 3 x 7 = 21 years
The present age of Sunil's father = 7 x 7 = 49 years.

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