document.write( "Question 315543: find the two digit number which has the sum of the cubes of its digits equal to three times itself? \n" ); document.write( "

Algebra.Com's Answer #225752 by jim_thompson5910(35256) $\"\"$ $\"About$

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Hint: Let t=tens digit and u=units digit. So the number is of the form $\"10t%2Bu\"$ . Now because \"the sum of the cubes of its digits equal to three times itself\", this means that $\"t%5E3%2Bu%5E3=3%2810t%2Bu%29\"$ . From here, simply find the only positive integer solution. \n" ); document.write( "

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