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PS Question

by netneoaaa » Thu Jul 05, 2007 3:40 am
75 is the sum of squares of 3 positive different integers. What is the sum of the integers ?

17
16
15
14
13

OA = 13

of course after the oa, i can guess the numbers to be 7,5,1 i.e. 49+25+1 but I cudnt imagine them before, any procedure ??
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by sykedaddy » Thu Jul 05, 2007 4:05 am
One way to cut down the work is to note that 75 is odd....

Only way to have the sum of numbers be odd is if the numbers are odd...

so A^2, B^2 and C^2 are odd...so A,B,C are odd....

and all options are <9...so plug in from there...
No WAMMYs!!
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