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#1 2023-10-09 17:33:36

sologuitar
Member
Registered: 2022-09-19
Posts: 467

Find Two Numbers

Two numbers add to 72. One number is twice the other. Find the numbers.


Let me see.


Let x and y be the two numbers.


x + y = 72.

One number is TWICE the other can be expressed like this:


x = 2y or y = 2x.


I will use x = 2y.


I think the correct system of equations is the following:

x + y = 72
x = 2y


Correct?

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#2 2023-10-09 18:03:46

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,317

Re: Find Two Numbers


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3 2023-10-09 23:31:26

Bob
Administrator
Registered: 2010-06-20
Posts: 10,196

Re: Find Two Numbers

Yes, those equations will work.

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#4 2023-10-09 23:58:13

sologuitar
Member
Registered: 2022-09-19
Posts: 467

Re: Find Two Numbers

Jai Ganesh wrote:

Cool. I worked out my own system of equations in terms of x and y and got the same answers.

Check

24 + 48 = 72

24 is half of 48

Cool.

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#5 2023-10-10 00:02:09

sologuitar
Member
Registered: 2022-09-19
Posts: 467

Re: Find Two Numbers

Bob wrote:

Yes, those equations will work.

Bob

Good morning, Bob.
I worked out my own system of equations and got
the same answers. Of course, this is ab easy word problem.
My problem concerns more involved longer applications.
Sometimes I manage to set up the correct equation(s) but
most of the time it's an up hill climb.

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