One number is 28 more than 3 times another number. If each n  TOPIC_SOLVED

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One number is 28 more than 3 times another number. If each n

Postby eleena on Tue Jun 02, 2009 6:28 am

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!!!
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Postby stapel_eliz on Tue Jun 02, 2009 2:00 pm

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 here.

Then start by naming things. Since "one number" is defined in terms of "another number", pick a variable for "another number". Then create an expression for "three times, plus another twenty-eight", which will represent the "one number".

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

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! :wink:
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Re: One number is 28 more than 3 times another number. If each n

Postby eleena on Tue Jun 02, 2009 3:37 pm

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

Postby stapel_eliz on Tue Jun 02, 2009 5:00 pm

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, and solve this equation for the value of the variable.

Back-solve for the two numbers.

:wink:
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