# The sum of two numbers is 12. When three times the first number is added to 5 times the second number, the resultant number is 44. How do you find the two numbers?

##### 1 Answer

The first number is

#### Explanation:

We will turn the word problem into an equation to make it easier to solve. I am going to abbreviate "first number" to

AND:

Our two equations from the two bits of information are:

Now let's change the first equation so that we can solve for one of the variables.

Now substitute it into the second equation and solve:

Now that we know

CHECK: