Manuscript 54691

The typist was given the task of rewriting the manuscript of the adventure book in 8 days. However, she completed the task in 6 days because she rewrote 6 more pages per day than she was supposed to rewrite. Determine the number of pages of an adventure book manuscript.

Correct answer:

n =  144

Step-by-step explanation:

$$\begin{gathered} 8\cdot d=n \\ 6\cdot (6+d)=n \\ 8\cdot d=6\cdot (6+d) \\ 2d=36 \\ d=36/2=18 \\ n=8\cdot d=8\cdot 18=144 \\ \text{ Verifying Solution: } \\ {n}_2=6\cdot (6+d)=6\cdot (6+18)=144 \end{gathered}$$

8·d = 6·(6+d)

2d = 36


d = 36/2 = 18

d = 18

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