The present ages of Sameer and Anand are in the ratio 5 : 4. Three years hence, the ratio of their ages will become 11 : 9. What is Anand’s present age?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 24 years
Two ratios at two different times are enough to fix the ages: write the present ages with one unknown and use the future ratio to find it.
Let Sameer \(=5k\) and Anand \(=4k\) years
\(\displaystyle \frac{5k+3}{4k+3}=\frac{11}{9}\)
\(9(5k+3)=11(4k+3)\), so \(45k+27=44k+33\) and \(k=6\)
Anand’s present age \(=4\times6=24\) years