SOLUTION: two positive numbers differ by three and their product is 54.find their numbers

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Question 461890: two positive numbers differ by three and their product is 54.find their numbers
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x - y = 3 and xy = 54
==> y = x - 3
==> x(x - 3) = 54
<==> x%5E2+-+3x+-+54+=+0
<==> (x - 9)(x + 6) = 0
==> x = 9, -6. Discard -6.
==> One number is 9, and the other number is x - 3 = 9 - 3 = 6.