Janka and Danka

Janka and Danka began to read the books the same day. Janka had 276 pages, Danka 204 pages. They agreed that both read the same number of pages every day until They read their books.

A) How many maximum pages do they have to read the day to honor their agreement?

B) How many days did Danka read the book before Janka?

Correct answer:

A =  12
B =  6

Step-by-step explanation:

$$\begin{gathered} 276=2^2\cdot 3\cdot 23 \\ 204=2^2\cdot 3\cdot 17 \\ \text{GCD}(276,204)=2^2\cdot 3=12 \end{gathered}$$

$B=(276-204)/12=6$

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