Quantitative Aptitude Ques 2012
Question: 3 yr before, the average age of a family of 5 members was 17 yr. Due to birth of a now child, the average age is same today. The present age of child is
Options:
A) $ 1yr $
B) $ 3yr $
C) $ 2\frac{1}{2}yr $
D) $ 2yr $
Show Answer
Answer:
Correct Answer: D
Solution:
- 3 yr before, Total age of 5 members $ =17\times 5=85yr. $
$ \therefore $ The present age of all members of family $ =85+3\times 5=100yr. $ Let the age of child be x yr.
$ \therefore $ Present average age of family including the child $ =\frac{100+x}{6} $
$ \Rightarrow $ $ 17=\frac{100+x}{6} $
$ \therefore $ $ x=102-10=2yr $