SOLUTION: Translate this word problem as a system of equations and then solve using substitution. The sum of two numbers is 84. One number is three times the other. Find the numbers. Put you

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Translate this word problem as a system of equations and then solve using substitution. The sum of two numbers is 84. One number is three times the other. Find the numbers. Put you      Log On


   

Question 314861: Translate this word problem as a system of equations and then solve using substitution. The sum of two numbers is 84. One number is three times the other. Find the numbers. Put your answer in this form: the numbers are 3 and 6.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The two numbers are A and B.
1.A%2BB=84
2.A=3B
Substitute eq. 2 directly into eq. 1 and solve for B.
A%2BB=84
%283B%29%2BB=84
4B=84
highlight_green%28+B=21%29
Then from eq. 2,
A=3B=3%2821%29
highlight_green%28+A=63%29
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The two numbers are 21 and 63.