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

Solution:

Let us convert the given statements to algebraic expressions.

Let present age of Daniel = x years

Age of Kevin = 3 + x years

Two years ago,

Age of Daniel = x - 2

Age of Kevin = 3 + x - 2 = x + 1

Given, Kevin was 4 times as old as Daniel

⇒ x + 1 = 4(x - 2)

⇒ x + 1 = 4x - 8

⇒ 4x - x = 8 + 1

⇒ 3x = 9

⇒ x = 3

Thus, the present age of Daniel = 3 years.

Age of Kevin = 3 + 3

= 6 years

Therefore, Kevin is 6 years old now.

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

Summary:

Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. Kevin is 6 years old now.