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mn = 8 ( Product)

m + n = 6 (Sum)

Hence

m = 6 - n

Substitute

(6 -n)n = 8

Multiply out the brackets

6n - n^(2) = 8

n^(2) - 6n + 8 = 0

It is now in quadratic form and will factor

Hence

((n - 2)(n - 4) = 0

n = 2 & n = 4

So '2' & '4' are the two numbers.

Verification

2 + 4 = 6

2 x 4 = 8

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lenpollock

Lvl 16
10mo ago

What else can I help you with?