SOLUTION: The difference between two numbers is 25. Two times the larger number is 12 times the smaller number. Find the numbers.

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Question 1027121: The difference between two numbers is 25. Two times the larger number is 12 times the smaller number. Find the numbers.
Found 2 solutions by stanbon, macston:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between two numbers is 25. Two times the larger number is 12 times the smaller number. Find the numbers.
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x - y = 25
That means the "x" is the larger number.
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2x = 12y
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x = 6y
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Substitute for "x" and solve for "y"::
6y-y = 25
5y = 25
y = 5
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Solve for "x"::
x = y+25
x = 30
Notice that "x" is the larger number.
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Cheers,
Stan H.
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Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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L=larger number; S=smaller number
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L-S=25
L=S+25
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2L=12S
2(S+25)=12S
2S+50=12S
50=10S
5=S
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ANSWER 1: The smaller number is 5
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L=S+25=5+25=30
ANSWER 2: The larger number is 30.
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CHECK:
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2L=12S
2(30)=12(5)
60=60
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