UNO High School Problem of the Week Competition

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Problem 6



In the base ten number system the number 526 means 5 * 10^2 + 2*10 + 6. In the Land of Mathesis, however, numbers are written in the base r. Jones purchases an automobile there for 440 monetary units (abbreviated m.u.). He gives the salesman a 1000 m.u. bill, and receives, in change, 340 m.u. The base r is?

Solution