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TopicHow do you interpret this algebraic partitioning problem?
jramirez23
08/04/18 8:24:15 PM
#1:


Make me two parts of 10 such that each part multiplied by itself, and the one multiplication taken from the other leaves 49. I ask what are the parts.

I ended up writing
x + y = 10
x^2 + xy + y^2 = 49.

That's not the right interpretation though. Apparently the correct approach is this:

x + y = 10
x^2 - y^2 = 49


Hint: "taken from the other" means subtraction somehow.

Does it make sense, or do you find these word problems to be tricky too?
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