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Subtract The Cubics, Get Product (Posted on 2007-07-22)

Determine all possible pairs of positive whole numbers (v, w) satisfying the following equation:

v³ – w³ = vw + 61

See The Solution Submitted by K Sengupta

Rating: 3.3333 (3 votes)

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(Very) partial spoiler!

| Comment 1 of 6

Hello KS,

Please don't keel over in shock at seeing my name in response to one of your problems!

Well, I took my calculator and did a few computations. Would you believe it? I found one solution quite quickly!

Here it is

6^3 - 5^3 = 91

(6*5)+ 61 = 91

Thanks for an interesting problem.:) Josie

Posted by Josie Faulkner on 2007-07-22 18:56:57

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