Asked by Arile
                Find the number of ordered quadruples of positive integers (a,b,c,d ) such that ab +cd =10.
            
            
        Answers
                    Answered by
            Reiny
            
    so you have
1+9=10
2+8=10
...
9+1=10
consider 4+6 = 10
to get 4 we have 1x4 , 2x2 , 4x1
to get 6 we have 1x6, 2x3, 3x2, 6x1
so one possible quadruple is (2,2,3,2)
start grinding them out
    
1+9=10
2+8=10
...
9+1=10
consider 4+6 = 10
to get 4 we have 1x4 , 2x2 , 4x1
to get 6 we have 1x6, 2x3, 3x2, 6x1
so one possible quadruple is (2,2,3,2)
start grinding them out
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