Answer :

Let one number be x.

Then the other number is 8 – x.

15 = x(8 - x)

15 = 8x - x ^{ 2 }

x ^{ 2 } - 8x + 15 = 0

x ^{ 2 } - 5x – 3x + 15 = 0

x(x – 5) – 3(x – 5) = 0

(x – 3)(x – 5) = 0

(x – 3) = 0 or (x – 5) = 0

x = 3 or x = 5

Therefore the numbers are 3 and 5.

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