| Radha's present age is three years less than twice her age 12 yr ago. Also the respective ratio between Raj's present age and Radhas 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 :
| Present age of Radha = x yr |
| According to the question, |
| \[x+3=2\,(x-12)\] |
| \[\Rightarrow \] \[x+3=2x-24\] |
| \[\therefore \] \[x=27\] |
| Present age of Raj: Present age of Radha |
| \[\therefore \] Present age of Raj \[=\frac{27}{9}\times 4=12\] |
| After 5 yr, age of Raj \[=12+5=17\,yr\] |
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