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A father is 3 times as old as his son today. After 13 years the father will be twice as old as his son. The present age of the son is:
Question

A father is 3 times as old as his son today. After 13 years the father will be twice as old as his son. The present age of the son is:

A.

8 years


B.

13 years

C.

None

D.

12 years

Correct option is B

Given:

The father's age today = 3 times the son's age.

After 13 years, the father's age will be twice the son's age.

​Solution:

Let the present age of the son be x years.
Then, the father's present age = 3x years.

After 13 years, their ages will be:

Son's age = x+13

Father's age = 3x+13

According to the given condition:

3x+13=2(x+13)

3x+13=2x+26

3x - 2x = 26 – 13

x=13

Present age of the son = 13 years.

Option (B) is right.

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