# Basic word problem, finding x and y

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• Jan 8th 2014, 03:16 PM
Cake
Basic word problem, finding x and y
Hey Guys,

Here is a simple word problem. I found some set up online but it does not use both variables x and y. Instead, it uses the variable x only.
Here is the question:

Two angles are supplementary. One angle is 24° morethan twice the other. Using two variables
x and y, find themeasure of each angle.

Here is the answer online:
x + 2x - 24 = 180
3x = 156 x = 52 degrees, one angle, other one is 128.

How would you set this up by using 2 variables?

• Jan 8th 2014, 04:30 PM
romsek
Re: Basic word problem, finding x and y
Quote:

Originally Posted by Cake
Hey Guys,

Here is a simple word problem. I found some set up online but it does not use both variables x and y. Instead, it uses the variable x only.
Here is the question:

Two angles are supplementary. One angle is 24° morethan twice the other. Using two variables
x and y, find themeasure of each angle.

Here is the answer online:
x + 2x - 24 = 180
3x = 156 x = 52 degrees, one angle, other one is 128.

How would you set this up by using 2 variables?

one way would be

\$\displaystyle x + y = 180\$ because the angles are supplementary\$\$

\$\displaystyle y=2x+24\$ by the 2nd statement of the problem\$\$

Now just plug the 2nd equation into the first to obtain

\$\displaystyle x+(2x+24)=180\$

\$\displaystyle 3x + 24 = 180\$

\$\displaystyle 3x=156\$

\$\displaystyle x=52\$

\$\displaystyle y=2(52)+24=104+24=128\$