Mathematics 7775

A total of 3389 digits were needed to number all the sheets of the mathematics textbook. Assume that in a book, every leaf outside the plates is numbered.
How many pages does this textbook have if it is:
a) single-volume
b) two-volume (with both parts having roughly the same number of pages)?

Correct answer:

a =  1124

Step-by-step explanation:

a1=9 a2=2 90=180 a3=3 900=2700 a4 = 4   (a999)  a1+a2+a3+a4 = 3389  9+2 90+3 900+4 (a999)=3389  4a=4496  a=44496=1124  a=1124  a4=4 (a999)=4 (1124999)=500



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