SOLUTION: The sum of Elliot's age and twice Zane's age is 44. The difference of twice Elliot's age and Zane's age is -2. What is Elliot's age?

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Question 872309: The sum of Elliot's age and twice Zane's age is 44. The difference of twice Elliot's age and Zane's age is -2. What is Elliot's age?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x and z, their ages.
x%2Bz=44, and exactly as described: 2x-z=-2, but this is a bad way to state a difference.

z-2x=2.
x=44-z.
z-2%2844-z%29=2
z-44-2z=2
-z-44=2
z%2B44=-2
highlight_green%28z=-46%29
, which makes no sense.

Maybe you wanted to describe in a way to mean, z-2x=-2, and multiplying this equation by negative 1 gives 2x-z=2.
x+z=44,
x=44-z.
2%2844-z%29-z=2
88-22z-z=2
88-23z=2
88-2=23z
86=23z
z=86%2F23
highlight%28z=3%2617%2F23%29 years, Zane's age.
Elliot's age, highlight%28x=44-3%2617%2F23%29 years.

You might wish to approximate these to the nearest month.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The sum of Elliot's age and twice Zane's age is 44. The difference of twice Elliot's age and Zane's age is -2. What is Elliot's age?

Elliott's age: highlight_green%288%29
You can do the check!!
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