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The sum of the present ages of a man and his son is 50 years. After five years, the man's age will be three times that of his son. Find the present ag
Question

The sum of the present ages of a man and his son is 50 years. After five years, the man's age will be three times that of his son. Find the present age of the son.

A.

12 years

B.

11 years

C.

10 years

D.

14 years

Correct option is C

Given
Sum of present ages = 50 years
After 5 years, Man's age = 3 × Son's age
Solution
Let the present age of the Man be M and the Son be S.
M + S = 50
M = 50 - S
After 5 years:
M + 5 = 3 × (S + 5)
Substitute M = 50 - S into the equation:
(50 - S) + 5 = 3S + 15
55 - S = 3S + 15
4S = 40
S = 10 years
Final Answer
So the correct answer is (c)

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