Janka and Danka

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

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

B) How many days Danka read book before Janka?

Result

A =  12
B =  6

Solution:

276=22323204=22317GCD(276,204)=223=12276 = 2^2 \cdot 3 \cdot 23 \\ 204 = 2^2 \cdot 3 \cdot 17 \\ \text{GCD}(276, 204) = 2^2 \cdot 3 = 12\\
B=(276204)/12=6B=(276-204)/12 = 6



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