the difference of 2 numbers is 90 and their quotient is 10

Question

I need to know because this questions confuse SO MUCH someone help I will appreciate it so much

Answer 1

Hello Jesse,

Let's call those two numbers x and y. We will "translate" the information given to us into equations.

"the difference of 2 numbers is 90" -----> x - y = 90

"and their quotient is 10" -------> x/y = 10

Now you have a system of two equations:

x - y = 90

x/y = 10

You can solve it a few ways. Let's use substitution. We will rewrite the 2nd equation as x in terms of y, then substitute x in the 1st equation:

Rewriting the 2nd equation gives us: x = 10*y

Now in the first equation, replace x by 10*y. That is substitution -----> 10y - y = 90 ----> 9y = 90 ----> y = 10

See how substitution gets you an equation where you can easily solve one variable?

Now that know y = 10, you can plug 10 into any of the 2 equations of your system. If you choose the 1st equation:

x - 10 = 90

I will let you solve this simple equation.

Cheers!