Question

How Many Lines? Stew counted the lines of a page in his book. Counting by threes gave a remainder of 2, counting by fives also gave a remainder of 2, and counting by sevens gave a remainder of 5. How many lines were on the page?

Answer 1

Let x = number of lines

x/3 = r2 2,5,8,11,14,17,20,23,26,29,32,35,38,41,44,47
x/5 = r2 2,7,12,17,22,27,32,37,42,47
x/7 = r5 5,12,19,26,33,40,47

47 is the smallest number that fits all 3 requirements.