# The sum of two numbers is 27. The larger number is 6 more than twice the smaller number. What are the numbers?

##### 2 Answers

#### Explanation:

Okay, I'm going to put these as an equation, to make things a bit easier for you.

Let

Once you see those, it's quite clear that this is a simple substitution problem. So, let's solve for

And then let's substitute it in for the first number:

And then to solve for

The smaller number is

#### Explanation:

This problem can be solved using just one variable.

Let the smaller number be

If the two numbers add to 27, then the numbers can be written as:

Twice the small number:

Six more than twice the smaller number:

That is the same as (=) the bigger number:

If the smaller number is

Check: