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funny numbers (Posted on 2004-07-28) Difficulty: 1 of 5
X and Y are positive integers, neither of which is divisible by 10. Their product is 100,000.

What is X + Y ?

See The Solution Submitted by Thalamus    
Rating: 2.3636 (11 votes)

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Solution solution | Comment 14 of 19 |

As neither X nor Y is divisible by 10 neither can have both 2,5 as a prime factore. As their prime factors must be identical with that of 10000 by the fundamental theorem of algebra, we must have that X contains all 2's and Y all 5's or vice versa.

As 100 000 = 10^5 then X=2^5 = 32 , Y=5^5 = 3125

their sum is thus 3157

  Posted by neshal on 2004-08-02 05:57:11
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