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Pooja Mistry

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· 1 Months ago

r (Question:165066.0)

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Question:
Three years ago, the average age of a family of five members was 20 years. Due to the birth of a new child, the average age is 19\(\cfrac{1}{2}\) years today. The present age of the child is:
Options:
A) \(1\cfrac{1}{2}\) years
B) 2 years
C) 3 years
D) 2 \(\cfrac{1}{2}\)years
E) None of these
Solution:
Ans: (b) 3 years ago, the sum of the ages of 5 members = 5 x 20 = 100 years

the sum of the ages of 5 members, today = 100 + 3x5 = 115 years

the sum of the ages with child, today = 6 x 19 \(\cfrac{1}{2}\) = 117 years

therefore, age of the child = 117 – 115 = 2 years

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