# Benjamin is 4 years younger than Kevan. William is 4 years less than twice Benjamin's age. If William is 22, how old are Kevan and Benjamin?

Oct 24, 2016

Benjamin is 13 and Kevan is 17.

#### Explanation:

Of the 3 boys, Benjamin is the youngest.
Let Benjamin's age be $x$

Write an expression for the age of each boy:

Benjamin: $x$ years old
Kevan : $x + 4$ years old

William: $2 x - 4 \text{ } \leftarrow$ double Benjamin's age, less 4.

William is 22 years old.
$2 x - 4 = 22$

$2 x = 26$

$x = 13$

Benjamin is 13 and Kevan is 17.