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integer equations

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The difference between the ares of two rectangles 2016-06-09
From Ingrid:
I am trying to help my son with an area question.
I have the answer, from the solutions, but I cannot figure out how to teach him.

Question:

Two rectangles have lengths 13cm and 19cm respectively.
Their total area is 376cm squared.
If both their widths are whole numbers, what is the difference in their areas?

I know that this is solvable once I determine the widths of the rectangles ,
but how do I go about finding that?

Thanks for your help

Answered by Chris Fisher and Harley Weston.
Sheep, goats, and hogs 2009-01-23
From La:
A man buys sheep, goats, and hogs, to the number of 100, for 100 crowns; the sheep cost him 1/2 a crown a-piece; the goats cost him 1-1/3 crowns a-piece; and the hogs cost him 3-1/2 crowns a-piece. How many had he of each?
Answered by Robert Dawson.
x^5 + y^5 + z^5 = w^5 2001-01-11
From Samuel Brown:
x5 + y5 + z5 = w5 I have no idea whether or not this is possible.
Answered by Claude Tardif.
 
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