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Numbers are n and n + 2, so product = n2 + 2n and sum = 2n + 2.

ie n2 + 2n + 1 = 6n + 6

or n2 - 4n - 5 = 0

Factors are (n + 1)(n - 5) making n = 5 and the integers 5 & 7.

Check: 5 x 7 = 35; 5 + 7 = 36. OK

There is also an answer of n = -1, making the integers -1 and 1, product being -1 and sum zero.

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