| Three years ago the average age of a family of 5 members was 17 yr. A baby having been born, the average age of the family is the same today. The present age of the baby is [SSC (10+2) 2014] |
A) 1 yr
B) \[1\frac{1}{2}\,yr\]
C) 2 yr
D) 3 yr
Correct Answer: C
Solution :
| Total age of a family of 5 members, |
| 3 yr ago\[=5\times 17=85\,yr\] |
| \[\therefore \] Total present age of a family of 5 members |
| \[=85+5\times 3\] |
| \[=85+15=100\,yr\] |
| and total present age of a family of 6 members |
| \[=6\times 17=102\,yr\] |
| \[\therefore \] Present age of the baby \[=(102-100)=2\,yr\] |
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