Pages of book

Lenka calculated that if every day read 16 pages of the book, and read a book a day earlier, then she had read only 14 pages a day. How many pages has this book?

Correct answer:

n =  112

Step-by-step explanation:

16(d1)=n 14 d=n  16 (d1)=n 14 d=n  16dn=16 14dn=0  Row21416 Row1Row2 16dn=16 0.13n=14  n=140.125=112 d=16+n16=16+11216=8  d=8 n=11216(d-1) = n \ \\ 14 \ d = n \ \\ \ \\ 16 \cdot \ (d-1) = n \ \\ 14 \cdot \ d = n \ \\ \ \\ 16d-n = 16 \ \\ 14d-n = 0 \ \\ \ \\ Row 2 - \dfrac{ 14 }{ 16 } \cdot \ Row 1 → Row 2 \ \\ 16d-n = 16 \ \\ -0.13n = -14 \ \\ \ \\ n = \dfrac{ -14 }{ -0.125 } = 112 \ \\ d = \dfrac{ 16+n }{ 16 } = \dfrac{ 16+112 }{ 16 } = 8 \ \\ \ \\ d = 8 \ \\ n = 112



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