Question

Pat is 20 years older than his son Patrick. In 2 years, the sum of their ages will be 90. How old are they now?Patrick is years old, and Pat is ?years old.

Answer 1

Let "x" be the age of Patrick.

Pat is 20 years older than his son Patrick so we can represent this as "x+20".

In two years, the age of patrick will be x+2 and the age of Pat will be x+22.

Since in 2 years, the sum of their ages will be 90, we can write:

$\begin{gathered} x+2+x+22=90 \\ 2x+24=90 \\ 2x=66 \\ x=33 \end{gathered}$

And, the age of Pat is x+20 which is 53.

Therefore, Patrick is 33 years old, and Pat is 53 years old.