Book

To number pages of the thick book was used 4201 digits. How many pages has this book?

Correct answer:

x =  517

Step-by-step explanation:

$$\begin{gathered} c_1=9 \\ {c}_2=2\cdot 90=180 \\ {c}_3=3\cdot 900=2700 \\ {c}_4=4201-(c_1+c_2+c_3)=4201-(9+180+2700)=1312 \\ x=9+90+90+c_4\mathrm{/}4=9+90+90+1312\mathrm{/}4=517 \end{gathered}$$

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