### Brain Teasers

# Mad Ade's Kebab Essay

When Mad Ade was at University he completed an essay on "The molecular construction of a standard Kebab". After printing the work he was surprised to find that the number of digits used to number all the pages was a multiple of the number of actual pages the essay contained.

Using this information can you work out how many pages the essay contained in total?

Just to help, the essay was more than 1000 pages but less than 10,000 pages.

Using this information can you work out how many pages the essay contained in total?

Just to help, the essay was more than 1000 pages but less than 10,000 pages.

### Answer

1107 pages.The number of digits used to number all the pages is 3321.

1-9: 9 digits

10-99: 180 digits

100-999: 2700 digits

1000-1107: 432 digits

Total: 3321 digits

3321/1107= 3

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