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Aptitude · Q8

Problems On Ages

Competitive Exams · Aptitude · question 8

Q8

The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:

A.
12 years
B.
14 years
C.
18 years
D.
20 years
Answer
E.
None of these

Answer: Option D

Solution

Answer: Option D
Solution:
Let the present ages of son and father be x and (60 -x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
⇒ 54 - x = 5x - 30
⇒ 6x = 84
x = 14
∴ Son's age after 6 years = (x + 6) = 20 years.