# The sum of two numbers if 67. the smaller number is 3 less than the larger number. what are the 2 numbers?

##### 2 Answers

Set up a system of equations.

#### Explanation:

I am going to use x for the smaller number and y for the larger one.

The sum of both these numbers is 67, so the equation should be:

Since the smaller number is three less than the larger number, that means 3 has to be added to the smaller number to make it equal in size to the larger number.

To solve the equation, simply plug in

The smaller number is 32, so we plug that in to the second equation to find the larger number.

The two numbers are 32 and 35

#### Explanation:

Let's say

Now we solve for