Question

Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is Kevin now?

Answer 1

Kevin is now 24 years old.

Explanation:

Given:

Kevin is 3 times as old as Daniel.

4 years ago, Kevin was 5 times as old as Daniel.

Now, to find the age of Kevin now.

Let the age of Daniel be
`x.`

As given, Kevin is 3 times as old as Daniel.

Thus, the age of Kevin is
`3x.`

So, as per given 4 years ago Kevin was 5 times as old as Daniel.

According to question:

`3x-4=(x-4)* 5`

`3x-4=5x-20`

Adding both sides by 20 we get:

`3x+16=5x`

Subtracting both sides by
`3x` we get:

`16=2x`

Dividing both sides by 2 we get:

`8=x`

`x=8.`

The age of daniel = 8 years.

The age of Kevin =
`3x=3* 8=24\ years.`

Therefore, Kevin is now 24 years old.