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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 :

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 : Correct Answer 8 years 11 months

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

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