SOLUTION: the product of two numbers is 36 and their quotient is 9.Find the numbers.

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Question 1092211: the product of two numbers is 36 and their quotient is 9.Find the numbers.
Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Try pairs of factors of 36.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
ANOTHER WAY:
Let the numbers be a and b ,
with a%2Ab=36 and a%2Fb=9 .
a%2Ab%2F%28a%2Fb%29=36%2F9 --> a%2Ab%2A%28b%2Fa%29=4 --> b%5E2=4 --> b=%22+%22%2B-+2
So, there are two choices:
either system%28b=2%2Ca%2Ab=36%29 --> highlight%28system%28b=2%2Ca=18%29%29 ,
or system%28b=-2%2Ca%2Ab=36%29 --> highlight%28system%28b=-2%2Ca=-18%29%29 .