Is there even a way to solve this?

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Let S be a set of 3 integers, a , b a,b and c c , that use every integer once, 1 through 5, where a × b = c a\times b=c . Let G be a set of different integers, d , e d, e and f f , that only use all integers once, 1 through 4, where d × e = f d\times e=f . Find c + f c+f .


The answer is 64.

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1 solution

Finn Hulse
Feb 8, 2014

The numbers are 13 13 , 4 4 , and 52 52 in set S. In set G, they are 3 3 , 4 4 , and 12 12 . Thus 12 + 52 12+52 is 64.

you should also include in the question that all the digits from 1-5 have to be used

Nucky Korprasertsri - 7 years, 4 months ago

why is that? I'm not quite understanding the reasoning behind this, is it just through trial and error?

Victor Song - 7 years, 4 months ago

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I don't know! I just realized it in math class and posed a problem that doesn't have a set strategy. ;)

Finn Hulse - 7 years, 4 months ago

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It's to encourage problem-solving rather than formulas and tricks.

Finn Hulse - 7 years, 4 months ago

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