SOLUTION: the sum of two numbers is 38 when 8 is added to twice one of the numbers the result is five times the other numbers.find the two numbers.thank you

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Question 1009704: the sum of two numbers is 38 when 8 is added to twice one of the numbers the result is five times the other numbers.find the two numbers.thank you
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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F=first number; S=second number
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F+S=38
S=38-F . Use this to substitute for S below.
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2F+8=5S . Substitute for S from above.
2F+8=5(38-F)
2F+8=190-5F
7F=182
F=26
ANSWER 1: The first number is 26.
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S=38-F=38-26=12
ANSWER 2: The second number is 12.
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CHECK:
2F+8=5S
2(26)+8=5(12)
52+8=60
60=60