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PUZZLET 124

An Equation with Digits

Look at how 48 can make an equation: 48 x (4 + 8) = 4^3 + 8^3.

You can do exactly the same with 147: 147 x (14 + 7) = 14^3 + 7^3.

Find all expressions of this type for the integers less than 1,000.


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Last Updated: January 14th, 2010.