Terry and Alice

Terry is half as old as Alice was when Alice was five years older than Terry is now. How old is Terry now?

Answer

Terry is 5 years old.

Let’s translate words to math. “Alice was five years older than Terry is now” translates to: A = 5 + T, where A is the age of Alice and T is the age of Terry.

Now translate again. “Terry is half as old as Alice was” becomes : T = (12)A.

Solving the two equations will give T = 5.

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