| At present Kavita is twice Savita's age. Eight years hence, the respective ratio between Kavita's and Savita's ages, then will be 22: 13. What is Kavita's present age? |
A) 26 yr
B) 18 yr
C) 42 yr
D) 36 yr
E) None of these
Correct Answer: D
Solution :
| Let Savita's age be \[x\] yr. |
| Then, Kavita's present age \[=2x\] |
| According to the question, |
| \[\frac{2x+8}{x+8}=\frac{22}{13}\] |
| \[\Rightarrow \]\[13\,\,(2x+8)=22\,\,(x+8)\] |
| \[\Rightarrow \]\[26x+104=22x+176\] |
| \[\Rightarrow \]\[26x-22x=176-104\]\[\Rightarrow \]\[4x=72\] |
| \[x=18\] |
| \[\therefore \] Kavita's age \[=2\times 18=36\,\,yr\] |
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