SOLUTION: the difference between the two numbers is 103. 6 times the smaller is equal 2 times the larger. What are the numbers?

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Question 1005608: the difference between the two numbers is 103. 6 times the smaller is equal 2 times the larger. What are the numbers?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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L=larger; S=smaller
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L-S=103
L=S+103
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6S+2L
3S=L
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3S=S+103
2S=103
S=51.5
ANSWER 1: The smaller number is 51.5.
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L=103+S=103+51.5=154.5
ANSWER 2: The larger number is 154.5
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CHECK:
6S=2L
6(51.5)=2(154.5)
309=309
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