SOLUTION: Joe is thinking of three numbers. The first number times the second number equals the third number. The first number is twice the second number. The third number is six times th

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Joe is thinking of three numbers. The first number times the second number equals the third number. The first number is twice the second number. The third number is six times th      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 277202: Joe is thinking of three numbers. The first number times the second number equals the third number. The first number is twice the second number. The third number is six times the first number. What could the numbers be?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
1st number=x
2nd number=y
3rd number=z
xy=z "The first number times the second number equals the third number."
x=2y "The first number is twice the second number"
z=6x "The third number is six times the first number"
I would use substitution and solve for y in the first equation
xy=z
%282y%29y=6x
%282y%29y=6%282y%29
%282y%29y=%2812y%29
2y%5E2=12y
2y%5E2-12y=0
2%28y%5E2-6y%2B0%29=0 find two numbers that multiply to get 0 and add to get -6.
y-6=0y%2B0=0 easily they are -6 and 0
highlight%28y=6%29 or y=0
if y=6 then:
x=2%286%29
highlight%28x=12%29 then:
z=6%2812%29
highlight%28z=72%29
if y=0 then:
x=0
z=0
you must make the desicion based on the answer choices, or list both answers for each number