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?

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

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

$\displaystyle 3x + 24 = 180$

$\displaystyle 3x=156$

$\displaystyle x=52$

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