One number is 9 more than twice another. if their difference is 22, what is the larger number?

Let, the numbers are: x, y
So, Equations will be: x - y = 22
x = 2y + 9

Substitute the value of x in first equation, 
2y + 9 - y = 22
y = 22 - 9
y = 13

x - 13 = 22
x = 22 + 13 = 35

In short, Larger number would be 35

Hope this helps!