Difference between revisions of "2021 WSMO Team Round Problems/Problem 2"
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==Solution== | ==Solution== | ||
| + | We want <math>x \equiv 2 \pmod{5}</math> and <math>x \equiv 6 \pmod{8}</math>. The smallest such <math>x</math> is <math>22</math>, and the next is <math>62</math>. | ||
| + | \[ | ||
| + | \boxed{62} | ||
| + | \] | ||
| + | ~pinkpig | ||
Revision as of 12:42, 9 September 2025
Problem
Bobby has some pencils. When he tries to split them into 5 equal groups, he has 2 left over. When he tries to split them into groups of 8, he has 6 left over. What is the second smallest number of pencils that Bobby could have?
Proposed by pinkpig
Solution
We want 
and 
. The smallest such 
is 
, and the next is 
.
\[
\boxed{62}
\]
~pinkpig
