One number is 4 more than another. the sum of the number is 20.

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.

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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