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The total age of father and son at present is 40 years. 16 years since hence the age of father will be twice the age of his son. What is the age of so
Question

The total age of father and son at present is 40 years. 16 years since hence the age of father will be twice the age of his son. What is the age of son at present ?

A.

5 years

B.

10 years

C.

8 years

D.

3 years

Correct option is C

Given:
Present age of Father + Son = 40 years
Father's age 16 years from now = 2 × Son's age 16 years from now
Formula Used:
Linear equations involving age variables.
Solution:
Let the present age of the father be F and the son be S.
F + S = 40 => F = 40 - S
After 16 years, the father's age will be F + 16 and the son's age will be S + 16.
F + 16 = 2 × (S + 16)
Substitute F = 40 - S into the equation.
(40 - S) + 16 = 2S + 32
56 - S = 2S + 32
56 - 32 = 2S + S
24 = 3S
S = 8
The present age of the son is 8 years.
Final Answer
So the correct answer is (c)

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