2017 AMC 8 Problems/Problem 23
Revision as of 14:37, 22 November 2017 by Kvedula2004 (talk | contribs) (Created page with "From the question <cmath>\dfrac{60}{x},\dfrac{60}{x+5},\dfrac{60}{x+10},\dfrac{60}{x+15}\in \mathbb{N}</cmath> and by simple guess and check, the answer is <cmath>\dfrac{60}{5...")
From the question
![\[\dfrac{60}{x},\dfrac{60}{x+5},\dfrac{60}{x+10},\dfrac{60}{x+15}\in \mathbb{N}\]](http://latex.artofproblemsolving.com/e/3/e/e3e4c1027a9fb86bad9d808aac06281d4e1b7ae8.png)
and by simple guess and check, the answer is
![\[\dfrac{60}{5}+\dfrac{60}{10}+\dfrac{60}{15}+\dfrac{60}{20}=\boxed{25}\]](http://latex.artofproblemsolving.com/0/e/b/0ebce2f6c1e31454555b2e1ca5d1459ad6df00a8.png)
-kvedula2004
