| Joe's present age is \[\frac{2}{7}\,th\] of his father's present age. Joe's brother is 3 yr older to Joe. The respective ratio between present ages of Joe's father and Joe's brother is 14: 5. What is Joe's present age? [SBI (PO) Pre 2015] |
A) 6 yr
B) 15 yr
C) 12 yr
D) 18 yr
E) 20 yr
Correct Answer: C
Solution :
| Let the Joe's father present age = x yr |
| Joe's present age \[=\frac{2}{7}x\] |
| Joe's elder brother present age \[=\,\,\frac{2}{7}x+3\,yr\] |
| According to the question, |
| \[\frac{x}{3+\frac{2}{7}x}=\frac{14}{5}\]\[\Rightarrow \]\[5x=14\,\left( 3+\frac{2}{7}x \right)\] |
| \[\Rightarrow \] \[5x=42+4x\] |
| \[\Rightarrow \] \[5x-4x=42\]\[\Rightarrow \]\[x=42\,\,yr\] |
| Joe's present age \[=\frac{2}{7}x=\frac{2}{7}\times 42=2\times 6=12yr\] |
You need to login to perform this action.
You will be redirected in
3 sec
