The ratio of the present ages of A and B is 7 : 13. After 6 years, the ratio of the ages of B and C will be 5 : 3. If the present age of C is 21 years, what will be the age of A after 3 years?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 24 years
Work along the chain: C's age gives B's age, and B's age gives A's age.
C after 6 years \(=21+6=27\) years
B after 6 years \(\displaystyle =\frac{5}{3}\times27=45\) years, so B now \(=39\) years
A now \(\displaystyle =\frac{7}{13}\times39=21\) years
A after 3 years \(=21+3=24\) years