Question

Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan.

How old is Ishaan now?

Answer 1

Age of Ishaan = 15 years

Explanation:

Let Ishaan's age = x years

Age of Ben = 4 * x = 4x years

6Years ago:

Age of Ishaan = x - 6

Age of Ben = 4x - 6

6 years ago, Ben was 6 times as old as Ishaan

So, Age of Ben = 6 * Ishaan's age

4x - 6 = 6 *(x-6)

4x - 6 = 6x - 36

Add 36 to both sides

4x - 6 + 36 = 6x

4x + 30 = 6x

Subtract '4x' from both sides

30 = 6x - 4x

30 = 2x

2x = 30

Divide both by 2 sides

x = 30/2

x = 15

Answer 2

Ishaan is currently 15 years old.

Explanation:

Let B represent Ben's current age and I represent Ishann's current age.

Ben is four times as old as Ishaan. In other words:

`B=4I`

Six years ago, Ben was six times as old as Ishaan. In other words:

`B-6=6(I-6)`

Solve for I. Substitute:

`(4I)-6=6(I-6)`

Distribute:

`4I-6=6I-36`

Subtract 4I from both sides and add 36 to both sides:

`2I=30`

And divide both sides by two. Hence:

`I=15`

Ishaan is currently 15 years old.