SOLUTION: The sum of three numbers is 71. The second number is twice the first number, and the third number is three more than one-third of the sum of the first two numbers. What are the num

Question 992107: The sum of three numbers is 71. The second number is twice the first number, and the third number is three more than one-third of the sum of the first two numbers. What are the numbers?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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F=first number; S=second number=2F; T=third number
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T=1/3(F+2F)+3=1/3(3F)+3=F+3
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F+S+T=71
F+2F+F+3=71
4F+3=71
4F=68
F=17 ANSWER 1: The first number is 17.
S=2F=2(17)=34 ANSWER 2: The second number is 34.
T=F+3=17+3=20 ANSWER 3: The third number is 20.
.
CHECK:
F+S+T+71
17+34+20=71
71=71

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