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Math Problem

PostPosted: Sep 9, 2004 @ 3:31pm
by suchiaruzu
Hello all you math geniuses out there - this one is for you (5th grade homework, grumble...):

You have two numbers a and b.
You know that their sum plus their difference plus their product plus their quotient equals 81, ie:

(a+b)+(a-b)+ab+a/b
OR
(a+b)+(b-a)+ab+a/b
OR
(a+b)+(a-b)+ab+b/a
OR
(a+b)+(b-a)+ab+b/a
=81

Find the lowest two real numbers this works out for.
Are there more numbers than that? Can you name a rule?
Any help is highly appreciated!
Thanks for your help!

PostPosted: Sep 9, 2004 @ 4:18pm
by Jadam
8 works

PostPosted: Sep 9, 2004 @ 4:25pm
by suchiaruzu
DUH, you are right! Thanks!!! Any scientific way to get to this?

PostPosted: Sep 9, 2004 @ 9:44pm
by Blade Runner
Inequations, algebra I don't know lol.