SOLUTION: the difference between two numbers is 2. if three times the larger number minus double the smaller number is 13. find the two numbers

Question 982013: the difference between two numbers is 2. if three times the larger number minus double the smaller number is 13. find the two numbers
Answer by macston(5194) (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=2
L=S+2 Use this to substitute for L below.
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3L-2S=13 Substitute for L from above.
3(S+2)-2S=13
3S+6-2S=13 Subtract 6 from each side.
S=7 ANSWER 1: The smaller number is 7
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L=S+2=9 ANSWER 2: The larger number is 9.
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CHECK:
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3L-2S=13
3(9)-2(7)=13
27-14=13
13=13
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