asked 17.4k views
4 votes
Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan.

How old is Ishaan now?

asked
User Ldgabbay
by
7.6k points

1 Answer

6 votes
So let's make two equations based off the information we are given:
Let B be equal to Ben's current age
Let I be equal to Ishann's current age


B = 4I

B-6 = 6(I -6)

The second equation can be expanded to:

B-6=6I -36

Now using the process of elimination:
B - 6 = 6I - 36
B = 4I *subtraction
-6 = 2I -36

Now solve for I:
-6 = 2I - 36
30 = 2I
I = 15

Therefore Ishann is 15 years old, making Ben 60.

Hope this helps!
answered
User Franklinsijo
by
8.0k points
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