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Aptitude · Q15

Problems On Ages

Competitive Exams · Aptitude · question 15

Q15

The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

A.
5 : 2
B.
7 : 3
Answer
C.
9 : 2
D.
13 : 4

Answer: Option B

Solution

Answer: Option B
Solution:
Let the ages of father and son 10 years ago be 3x and x years respectively.
Then, (3x + 10) + 10 = 2[(x + 10) + 10]
⇒ 3x + 20 = 2x + 40
⇒ x = 20
∴ Required ratio
= (3x + 10) : (x + 10)
= 70 : 30
= 7 : 3