SOLUTION: The difference between two numbers is 9. if four times the larger number is ten times the smaller, what are the numbers

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Question 680052: The difference between two numbers is 9. if four times the larger number is ten times the smaller, what are the numbers
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x-y = 9
4x=10y : rearrange as x = 10%2F4y
...
Substitution
%2810%2F4%29y+-+y+=+9
4%2810%2F4%29y+-+4y+=+4%289%29
10y - 4y = 36
6y = 36
y = highlight_green%286%29 as the smaller number
...
x-6=9
x = 9+6
x = highlight_green%2815%29 as the larger number
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