Sunday, November 29, 2009

Math Games

Part 1
An alphametic is a sum in which all of the digits have been replaced by letters (each letter always representing the same digit, and each different digit always represented by the same letter) and with the resulting arrangement forming real words.
After solving this alphametic


S A V E + M O R E = M O N E Y
give the value of SOME.


Part 2
Carter fenced in a rectangular plot of land and then divided it into two halves by putting another fence along the main diagonal. This diagonal fence measured 41 metres exactly.  Martindale also fenced in a rectangular plot of land in a similar way (including the diagonal fence) but his rectangle was one-third greater in area than Carter's plot and used less fencing.  In both plots all the the dimensions (lengths, widths and diagonals) were a whole number of metres.
How much more fencing did Carter use than Martindale?

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