One number is 28 more than 3 times another number. If each number were multiplied by 4, their difference would be 232. What are the numbers? Thanks!!!

- stapel_eliz
**Posts:**1738**Joined:**Mon Dec 08, 2008 4:22 pm-
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eleena wrote:One number is 28 more than 3 times another number. If each number were multiplied by 4, their difference would be 232. What are the numbers? Thanks!!!

To learn how to set up and solve this sort of exercise, try

Then start by naming things. Since "one number" is defined in terms of "another number", pick a variable for "another number". Then

Then create expressions for "four times" each number, and form their "difference". Set this difference expression equal to the given difference value, and

Back-solve for the two numbers.

If you get stuck, please reply showing how far you have gotten in following the above-listed step-by-step instructions. Thank you!

Thanks for the reply. So far, I have x=28+3y. I don't know what to do next or if that is right.

- stapel_eliz
**Posts:**1738**Joined:**Mon Dec 08, 2008 4:22 pm-
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Assuming you mean "y" to stand for "another number" and "x" to stand for the "one number", then "next":

stapel_eliz wrote:...create expressions for "four times" each number, and form their "difference". Set this difference expression equal to the given difference value, andsolve this equationfor the value of the variable.

Back-solve for the two numbers.