Problem 11

Due in DSC 203 by 3 PM, Friday March 30, 2001

The function f, defined on the set of ordered pairs of positive integers, satisfies the following properties:

$$\begin{array}{l} f(x,x)=x,\qquad f(x,y)=f(y,x),\qquad\mbox{ and}\\ (x+y)\cdot f(x,y)=y\cdot f(x,x+y). \end{array}$$

Calculate f(14,52).

Solutions, questions and/or comments should be directed to Judy Downey or Griff Elder

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Last modified:   Fri Mar 23 19:35:38 CST 2001