### Special Numbers

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

Think of a number... follow the machine's instructions. I know what your number is! Can you explain how I know?

### First Forward Into Logo 6: Variables and Procedures

Learn to write procedures and build them into Logo programs. Learn to use variables.

# Weekly Problem 34 - 2007

##### Stage: 3 and 4 Challenge Level:

Let the number of cases solved in 2003 be $x$. This was $80\%$ of the number of cases, so there were $5x/4$ cases to solve in 2003. So the number of cases to solve in 2004 was $5x/4 \times 6/5$, which is $3x/2$. Inspector Remorse solved $60\%$ of the cases, which is $9x/10$. So there was a $10\%$ decrease in the number of cases solved.

This problem is taken from the UKMT Mathematical Challenges.

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