Question

Ishaan is 2 times as old as Christopher 35 years ago, lshaan was 7 times as old as Christopher. How old is Christopher now?

Answer 1

Present age of:

Christopher = 42 yrs

Ishaan = 84 yrs

Explanation:

Solution:

Let present age of:

Christopher = `x` yrs

Ishaan = `2x` yrs ( given that Ishaan is 2 times as old as Christopher)

35 yrs ago:

Age of Christopher = (`x` - 35)yrs

Age of Ishaan = (`2x` - 35) yrs

According to question, 35 yrs back, Ishaan was 7 times older than Christopher.

Therefore

7 X (`x` - 35) = (`2x` - 35)

7`x` - 245 = `2x` - 35

7`x` - `2x` = 245 - 35

5`x` = 210

`x` = 42

So present age of Christopher = `x` = 42 yrs
&
Present age of Ishaan = `2x` = 84 yrs

Check your solution:

1. As 84 is 2 times of 42 so Ishaan is 2 times older than Christopher.

2. 35 yrs ago, Christopher was (42 - 35) = 7 yrs old and Ishaan was (84 - 35) = 49 yrs old so Ishaan was 7 times older than Christopher then.

Both conditions from question are satisfied so our answer is correct.