SOLUTION: The difference between two numbers is 50. Five times the smaller is equal to 6 more than the larger. What are the two numbers?

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Question 995378: The difference between two numbers is 50. Five times the smaller is equal to 6 more than the larger. What are the two numbers?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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S=smaller; L=larger
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L-S=50
L=50+S . Replace L with this below.
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L=5S-6 . Replace L from above.
50+S=5S-6
56=4S
14=S
L=50+S=50+14=64
ANSWER: The numbers are 14 and 64.
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CHECK:
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L=5S-6
64=5(14)-6
64=70-6
64=64