The sum of two numbers is 27. The larger number is 6 more than twice the smaller number. What are the numbers?
Okay, I'm going to put these as an equation, to make things a bit easier for you.
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
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