One year ago, the ratio of the age (in years) of A to that of B was 4 : 3. The ratio of their respective ages, 3 years from now, will be 6 : 5. What will be the ratio of respective ages of A and B, 9 years from now?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 9 : 8
Ages of A and B
A/B = 4/3 [1 year ago]
3A = 4B
After 3 years,
(A + 4)/(B + 4) = 6/5
5A + 20 = 6B + 24
5A = 6B + 4
A = 8, B = 6
After 9 years,
(A + 10)/(B + 10) = 18/16 = 9/8