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

1 Answer
Nov 25, 2016

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.