The sum of 2 numbers is 99 and their quotient is 8What are the 2 numbers

11 and 88

Step-by-step explanation:

I just set up a system of equations:

x + y = 99,

x/y = 8

I decided to use the method of substitution which is expressing one variable in terms of the other and substituting it into the other equation.

To use substitution, I changed the second equation to:

x = 8y

And then, I substituted that value for x into the first equation:

8y + y = 99

And that means:

9y = 99

Hence, y = 11. To find the second number, just substitute 11 for y in the first equation to get:

x + 11 = 99

And that means x = 88.

11 feet 6 inches and 8 feet 6 inches