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Question

One year ago, the number of years in Jane's age was a perfect square, and one year from now, her age will be a perfect cube. How many years old is Jane?

Accepted Answer

Let's consider a few small perfect cubes to see two less which is a perfect square: 2^3-2=6, not a perfect square; 3^3-2=25=5^2. Thus Jane is 27-1=26 years old.