### Brain Teasers

# World Almanac

Math
Math brain teasers require computations to solve.

I am compiling the new world almanac and it now contains lots more pages. I know that it takes 333 digits to print the page numbers in sequence. How many numbered pages does the book have and how many times does the number 3 appear?

### Answer

1-9: 9 digits, number 3 appears once;10-99: 180 digits, number 3 appears 19 times;

333-9-180=144, 144/3=48.

In 100-147, number 3 appears 15 times.

Therefore, there are 147 pages and the number 3 appears 35 times.

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