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
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> 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
Log On
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! .
F=first number; S=second number=2F; T=third number
.
T=1/3(F+2F)+3=1/3(3F)+3=F+3
.
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
