| Radha's present age is 3 yr less than twice her age 12 yr ago. Also, the respective ratio between Raj's present age and Radha's present age is 4: 9. What will be Raj's age after 5 yr? |
A) 12 yr
B) 7 yr
C) 21 yr
D) Cannot be determined
E) None of the above
Correct Answer: E
Solution :
| Let Radha's present age be\[x\,\,yr.\] |
| Then, Raj's age \[=\frac{4}{9}x\,\,yr\] |
| According to the question, |
| \[x=2\,\,(x-12)-3\]\[\Rightarrow \]\[x=2x-24-3\] |
| \[\Rightarrow \]\[-x=-\,\,27\]\[\Rightarrow \]\[x=27\] |
| \[\therefore \]Raj's age at present \[=\frac{4}{9}\times 27=12\,\,yr\] |
| Hence, Raj's age after 5 yr \[=(12+5)=17yr\] |
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