Madded together!

Algebra Level 1

What 3 positive integers give the same result when multiplied and added together?

If the values are x ≤ y ≤ z x \leq y \leq z , then write your answer as x y z ‾ \overline{xyz} .


The answer is 123.

Aaditya Pitke by Aaditya Pitke , 21, India

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1 solution

Feathery Studio
Jul 21, 2015

The sum AND product of 1 1 2 2 and 3 3 are equal to 6 6 . For this, 6 6 is known as a perfect number.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Note that with the condition of "positive numbers" there are actually infinitely many solutions. I've restricted it to "positive integers", and now there's only 1 solution.

Calvin Lin Staff - 5 years, 10 months ago

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