B was born when A was 4 years 7 months old and C was born when B was 3 years 4 months old. When C was 5 years 2 months old, then their average age was :

A. 8 years 9 months

B. 7 years 3 months

C. 8 years 7 months

D. 8 years 11 months

Answer: Option D

Solution(By Examveda Team)

According to the question,

A - B = 4y 7m . . . . . . . (i)

B - C = 3y 4m . . . . . . . (ii)

(+)  (+)   (+)

A - C = 7y 11m . . . . . . . (ii)

Given :
When, C = 5 years 2 months
∴ A = 13 years 1 month
B = 8 years 6 months
∴ Average of $$\frac{A + B + C}{3}$$
$$ = \frac{{{\text{26 years 9 months}}}}{3}$$
= 8 years 11 months