SOLUTION: one number is 5 more than the other . if five times the larger divided by the smaller.the quotient is 10.

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Question 676828: one number is 5 more than the other . if five times the larger divided by the smaller.the quotient is 10.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x = one number
y = another number
...
x = y+5
5x/y = 10
...
Substitute x into the second equation
%285%28y%2B5%29%29%2Fy+=+10
Multiply both sides by y
5(y+5) = 10y
Distribute the 5
5y + 25 = 10y
Group the y variables
25 = 10y - 5y
25 = 5y
Divide both sides by 5
highlight_green%28y+=+5%29
...
x = 5+5 = highlight_green%28x=10%29
.....................
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