Question
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 age of either Sunil or his father?
Answer: Option C
:
C and D
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C and D
Let the age of Sunil be 3x.
Then, the age of Sunil's father would be 7x.
Four years later,
Sunil's age = 3x+4 and
Sunil's father's age = 7x+4.
Then, the sum of their ages four years later =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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