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 **.

(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**