# MAT 126 - Your age when you are three times as old as the youngest person

**Calculate your age** • Solve the equation for your ages when you are three times as old as the youngest person. Are your answers reasonable?

current ages

Me = 54, Uncle = 81, and Niece = 18

• Preliminary Solution

Since 18 is the smallest number, let's start with that as "x".

Then, the person who is 54 now is (x + 36)

The person who is 81 now is (x + 63).

Thus, summing, we get:

x + (x + 36) + (x + 63) = 150.

Or, combining like terms,

3x + 99 = 150.

Solving,

3x = 51

x = 17.