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Three expressions - same value (Posted on 2016-06-02) Difficulty: 3 of 5
For a certain couple of two positive numbers a and b the sum a+b, the product a*b and the expression a^2-b^2 result as the same non-zero number.

Evaluate a and b .

No Solution Yet Submitted by Ady TZIDON    
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Some Thoughts re: computer assisted solution==>KISS | Comment 2 of 3 |
(In reply to computer assisted solution by Charlie)

There is much simpler way:

a^2-b^2= (a-b)* (a+b) = a+b

so a-b=1 and a=b+1

go from there and solve for b

  Posted by Ady TZIDON on 2016-06-02 16:21:33
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