age word problems

Question

Christopher is 2020 years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishaan was 33 times as old as Christopher.

Answer 1

Let I=Ishaan's age; Let C=Christopher's age

1. C=I-20 (because Christopher is 20 years younger than Ishaan)
2. I-14=3*(C-14) (Because 14 years ago, Ishaan was 3 times older than Christopher. So, subtract C and I by 14. But also multiply C-14*3 since that equals Ishaan's age 14 years ago.)

Substitute the first equation into the second equation for C, so I-14=3*(C-14) is now I-14=3*(I-20-14)

Solve this equation

I-14=3*(I-34)

I-14=3I-102

Do subtraction and addition on both sides

I-14+102=3I-102+102

I+88=3I

I+88-I=3I-I

88=2I

Divide by 2 on both sides. 88/2=I. I=44. Substitute this into the first equation, C=I-20.

C=44-20=24.

So, Ishaan is 44 while Christopher is 24.