The sum of the ages of 5 children born at the interval of 3 years each is 50 yea

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Question
The sum of the ages of 5 children born at the interval of 3 years each is 50 years . The age of youngest child is:
Options
A. 10 years
B. 8 years
C. 4 years
D. None of these

Correct Answer

4 years

Explanation

Let us assume the age of youngest child be P years.
Then according to question,
The age of 5 children born after every 3 years will be P , P + 3,
P + 6, P + 9, P + 12.
Now as we know from the given question
The sum of the ages of 5 children born at the interval of 3 years each is 50 years
P + (P + 3) + (P + 6) + (P + 9) + (P + 12) = 50
? 5P + 30 = 50
? 5P = 20
? P = 4 years