SOLUTION: A positive integer is 46 more than 15 times another. Their product is 605. Find the two integers.

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Question 725422: A positive integer is 46 more than 15 times another. Their product is 605. Find the two integers.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x = 15y + 46
xy = 605

Substitute the first equation into the second equation.

(15y + 46)(y) = 605
15y^2 + 46y - 605 = 0
(y - 5)(15y + 121) = 0
y = 5, y = -121/15

solution: (x, y) = (121, 5)