Answer: x= 12 and y=8
To solve this, let’s create two equations. We’ll do this by starting with the first sentence. One number is four more than another.
X=y+4
We don’t know what the numbers are, so we substitute them with variables. Now let’s move onto the second sentence. The sum of the numbers is 20.
20=x+y
The combination of the two unknown numbers is 20.
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Let’s write out both of our equations:
x=y+4
20=x+y
We’ll solve this using substitution. That means we’ll substitute the value of x into the second equation. Let’s do this now and solve.
20=y+4+y
*combine like terms*
20=2y+4
*subtract 4 on both sides*
16=2y
*divide both numbers by 2*
8=y
That’s the value of y! Let’s now find the value of x.
X=y+4
X=8+4
X=12
This is x!
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