# Will is 4 years older than Mike. Together, the sum of their ages equals three times Mike's age. How old is each person?

Nov 11, 2016

Mike is 4 and because Will is 4 years older Will is 8.

#### Explanation:

Let's call Mike's age $M$.

Therefore, because Will is 4 years older than Mike his age can be described as $M + 4$

And "three times Mike's age" can therefore be written as $3 M$.

The sum of Mike's and Will's age can be written as

$M + \left(M + 4\right)$

And this is equal to $3 M$ therefore:

$M + \left(M + 4\right) = 3 M$

Solving for $M$ while keeping the equation balanced gives:

$M + M + 4 = 3 M$

$2 M + 4 = 3 M$

$2 M + 4 - 2 M = 3 M - 2 M$

$M = 4$