Question

Christopher is
\[20\] years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishaan was
\[3\] times as old as Christopher.

Answer 1

Let I = Ishaan's current age and C = Christopher's current age.

Given C = I − 20 and 14 years ago I − 14 = 3(C − 14). Substitute C:

I − 14 = 3((I − 20) − 14) = 3(I − 34) = 3I − 102

Solve: I − 14 = 3I − 102 → 88 = 2I → I = 44. Then C = 44 − 20 = 24.

Check: 14 years ago Ishaan was 30 and Christopher 10 (ratio 3), so it fits. (The fact they “first met two years ago” is irrelevant to the algebra.)
Answer: Ishaan is 44 years old and Christopher is 24 years old.