SOLUTION: The product of two numbers is 36 and their quotient is9.Find the numbers

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Question 1092213: The product of two numbers is 36 and their quotient is9.Find the numbers
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
xy = 36 (1)
x/y = 9 (2)
(2) —> x=9y
subs. this into (1):
(9y)y = 36
+9y%5E2+=+36+
++y%5E2+=+4+
+y=2+ or +y=-2+
y=2 —> x=18
y=-2 —> x=-18

Ans: The pairs (18,2) and (-18,-2) are the two solutions.

Note: If by 'numbers' the problem means 'natural numbers' then the negative solution would be discarded, otherwise I am assuming negative integers are allowed.