The sum of integers x & y is 240. if x was divided by 9, the result would be y. what is the value of x?

Okay, so the first thing you need to do is set up your equations.

First, if the sum of the two is 240 then x+y=240.

Second, if x divided by 9 is y, then x/9=y.  Another way to put that is 9x=y because if x divided by 9 is y, then 9 of x makes one of y.

To solve for x, you want to first get rid of y in the first equation.  Since you know that 9x=y, you just plug that in.

x+9x=240

So you know that 10x=240.  To find x you divide both sides by 10.

So that leaves you x = 24

To check this, multiply 24 by 9.  That gets you 216.  216+24 is 240.

So we got the right answer...