How can we solve these problems withing using brute force?
Solving math word problems WITHOUT brute force
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recreational-mathematics
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0What is brute force? Is it using logic to reduce the number of possible cases, then testing those? – 2011-11-03
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0It also looks like they are intended for 5th graders. I'm working on applying some logic to it now. Brute force would be writing a computer program in order to solve this or (shudder) manually trying every combination. I think we can do better.. – 2011-11-03
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0this can be done by applying systems of equations with several variables – 2011-11-03
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0pedja, how? can you show an example? – 2011-11-03
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0These are known as "cryptarithms" or "verbal arithmetic". You can get started in [Wikipedia's page on solving them](http://en.wikipedia.org/wiki/Verbal_arithmetic). As the page notes, one usually uses a mix of logic to eliminate possibilities and reduce to a small number, and then a bit of trial-and-error. – 2011-11-03