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!