The sum of two numbers is 75. One number is 5 more than 9 times the other number. What are the two numbers?

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)