SOLUTION: One number is 6 more than another number. Three times the lesser number , added to twice the greater number is 2. What is the greater number ?

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Question 980354: One number is 6 more than another number. Three times the lesser number , added to twice the greater number is 2. What is the greater number ?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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L=lesser number; G=greater number
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L=G-6 Use this to substitute for L below.
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3L+2G=2 Substitute for L from above.
3(G-6)+2G=2
3G-18+2G=2
5G=20
G=4 ANSWER: The greater number is 4.
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CHECK:
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L=G-6=4-6=-2 The lesser number is -2.
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Three times the lesser number , added to twice the greater number is 2:
3L+2G=2
3(-2)+2(4)=2
-6+8=2
2=2