Hi, there--

Your Problem:
Two numbers differ by 6. If x represents the smaller number, then the larger number is _____?

Solution:
Let x be the smaller number.

The two numbers differ by 6. In other words, the difference between the two numbers is 6. Think of one 
examples:

1 and 7 ---> 1 + 6 = 7
3 and 9 ---> 3 + 6 = 9
20 and 26 ---> 20 + 6 = 26

Do you see the pattern? When the difference between two numbers is 6, you add 6 to the smaller number 
to get the larger number.

If the smaller number is x, we want to add 6 to x to get the larger number. In algebra, we write x + 6 to mean "add 6 to x."

So the larger number is x + 6. 

Hope this helps! Feel free to email if you have questions about this.

Mrs. Figgy
math.in.the.vortex@gmail.com