Some time ago I came across an interesting problem on @MathsJam, taken from Trigg’s *Mathematical Quickies*:

**Trigg MQ 236.** “Did your teacher give you that problem?” I asked. “It looks rather tedious.”

“No,” said Willie, “I made it up. It’s a polynomial equation with my age as a root. That is, stands for my age my last birthday.”

“Well, then,” I remarked, “It shouldn’t be so hard to work out– integer coefficients, integral root. Suppose I try . No, that gives 77.”

“Do I look only seven years old?” demanded Willie.

“Well, let me try a larger integer…. No, that gives 85, not zero.”

“Oh, stop kidding!” said Willie, looking over my shoulder. “You know I’m older than that.”

**How old is Willie?**

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