Age word problems worksheets

Age problems are the friendly way into algebra: one unknown, a comparison, and sometimes a jump into the future. These free printable word problems ask a child to name the age they do not know and build a sentence around it.

Age word problems
Age word problems worksheet — Ages now and later, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

The move these teach is choosing what the letter stands for. Once a child writes down that the younger age is the unknown, the older age is an expression in it — three times as old, or seven years more — and the sentence in the story becomes an equation almost by itself. Naming the right unknown is most of the work.

Why this sheet works

The ones that reach into the future are where it gets interesting, because both ages grow by the same amount. In four years both people are four years older, and holding that steady is the reasoning the problem is really testing — a mistake there is a mistake about time, not about algebra.