The two numbers are 11 and 64
One number is 5 more than 9 times the other. If we represent the first number with x, we get the two numbers to be
x and
9+5x
The sum of the two numbers is 75. Plugging the two numbers into that equation, you get
x + 9+5x = 75
You can simplify to get
6x+9 = 75
By subtrating 9 from both sides, you get
6x = 66
Now you are practically done! You just need to divide both sides by 6 to get
x = 11
The two numbers were
x and
9+5x
By plugging x = 11 into both of the equations, you get
11 and
64 (64 is 55 + 9)