The ages of Namrata, Alok and Kartikey are in the ratio \(\frac{1}{3}:\frac{3}{4}:\frac{4}{5}\). The difference between the ages of Kartikey and Namrata is 56 years. What is the age of Alok?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 90 years
A ratio of fractions becomes a ratio of whole numbers when every term is multiplied by the LCM of the denominators; here the LCM of 3, 4 and 5 is 60.
\(\displaystyle \frac{1}{3}\times60:\frac{3}{4}\times60:\frac{4}{5}\times60=20:45:48\)
Kartikey − Namrata \(=48-20=28\) parts \(=56\) years
1 part \(=2\) years
Alok \(=45\times2=90\) years
Alok is 90 years old.