SOLUTION: one number is 7 times another number. the product of the two numbers is 252. find the two numbers

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Question 437014: one number is 7 times another number. the product of the two numbers is 252. find the two numbers
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
x = one number
y = another numbers
We're told x = 7 times the other number
x+=+7y
We're told the product = 252
xy+=+252
Substituting what we know about x and y
%287y%29%2Ay+=+252
Multiply through
7y%5E2+=+252
Divide both sides by 7
y%5E2+=+36
Take the square root of both sides
y+=+sqrt%2836%29
y+=+6
Substitute this value of y to determine the value of x
x+=+7%2A6
x+=+42
Always check your work.
6%2A42+=+252
True
42+=+7%2A6
True
Remember to state your answer:
The two numbers are 6 and 42.
Done