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Quandaries & Queries
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 Topic: 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 helpAnswered 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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