SOLUTION: Please help me solve this problem. Five times the smaller of two numbers is equal to twice the larger. When the larger is doubled, it exceeds their original sum by 9. Find the n

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me solve this problem. Five times the smaller of two numbers is equal to twice the larger. When the larger is doubled, it exceeds their original sum by 9. Find the n      Log On


   

Question 122996: Please help me solve this problem. Five times the smaller of two numbers is equal to twice the larger. When the larger is doubled, it exceeds their original sum by 9. Find the numbers.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Five times the smaller of two numbers is equal to twice the larger. When the larger is doubled, it exceeds their original sum by 9. Find the numbers.
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Let smaller be "x" ; Let larger be "y".
EQUATIONS:
5x=2y
2y=x+y+9
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Rearrange:
y = (5/2)x
y = x+9
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x+9 = (5/2)x
(3/2)x=9
x = 6
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y = x+9 = 15
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Cheers,
Stan H.