| The ratio between the present ages of Dheeraj and Raman is 2: 3. 4 yr ago, the ratio between their ages was 5: 8. What will be Dheeraj's age after 7 yr? |
A) 29 yr
B) 35 yr
C) 31 yr
D) 33 yr
E) 41 yr
Correct Answer: C
Solution :
| Let present age of Raman be \[x.\] |
| Then, present age of Dheeraj \[=\frac{2x}{3}\] |
| Four years ago, |
| \[\frac{\frac{2x}{3}-4}{x-4}=\frac{5}{8}\]\[\Rightarrow \]\[\frac{2x-12}{3\,\,(x-4)}=\frac{5}{8}\] |
| \[\Rightarrow \] \[16x-96=15x-60\] |
| \[\Rightarrow \] \[x=36\] |
| \[\therefore \]Dheeraj s age after 7 yr \[=\frac{2x}{3}+7=\frac{2\times 36}{3}+7\] |
| \[=24+7=31\,\,\text{yr}\] |
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