### Brain Teasers

# Squared or Cubed?

Find the smallest two whole numbers that satisfy the following:

The difference of their squares is a cube and the difference of their cubes is a square.

The difference of their squares is a cube and the difference of their cubes is a square.

### Answer

The numbers are 10 and 6. The difference between their squares gives 64 (4 cubed) whereas the difference between their cubes is 784 (28 squared).Hide Answer Show Answer

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