Present ages of Sam and Amar are in the ratio 5 : 4 respectively. Three years later, the ratio of their ages will become 8 : 7 respectively. What is Amar's present age in years?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 4 years
Ages in the ratio 5 : 4 are written as \(5x\) and \(4x\); after 3 years both ages grow by 3, and the new ages must be in the ratio 8 : 7.
Ages after 3 years in the ratio 8 : 7: \(\displaystyle \frac{5x+3}{4x+3}=\frac{8}{7}\)
\(35x+21=32x+24\)
\(3x=3\), so \(x=1\)
Amar’s present age \(=4x=4\) years