SOLUTION: The sum of three numbers is 26 if the second number is 3 more than four times the first number and the third number is 5 less than twice the first number find the number

Question 993261: The sum of three numbers is 26 if the second number is 3 more than four times the first number and the third number is 5 less than twice the first number find the number
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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F=first number; S=second number; T=third number
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S=4F+3
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T=2F-5
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F+S+T=26
F+(4F+3)+(2F-5)=26
7F-2=26
7F=28
F=4
S=4F+3=4(4)+3=16+3=19
T=2F-5=2(4)-5=8-5=3
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ANSWER: The numbers are 4,19, and 3
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CHECK:
F+S+T=26
4+19+3=26
26=26
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