### 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:

Inspector Remorse had a difficult year in 2004. A crime wave in Camford meant that he had $20\%$ more cases to solve than in 2003, but his success rate dropped. In 2003, he solved $80\%$ of his cases, but in 2004 he solved only $60\%$ of them. What was the percentage change in the number of cases he solved in 2004 compared with 2003?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.

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