Kim In ten years is 2 times older than Kevin in 10 years but 5 years ago kim was three times older than kevin. What are there ages

Ages of Kim and Kevin are 50 and 20 respectively.

Step-by-step explanation:

Step 1:

From given details, form equations. So let present age of Kevin be x.

In 10 years, Age of Kim = 2 (x + 10)

5 years ago, Age of Kim = 3 (x - 5)

Step 2:

Difference between these two period is 15.

⇒ 2 (x + 10) - 3 (x - 5) = 15

⇒ 2x + 20 - 3x + 15 = 15

⇒ - x = - 20

⇒ x = 20

Step 3:

Calculate Kim's age.

In 10 years, Kim's age = 2 (x + 10) = 2 * 30 = 60

So present age of Kim = 60 - 10 = 50