# 2014 National MathCounts Winning Question

**Number Theory**Level 2

The smallest integer of a set of consecutive integers is -32. If the sum of these integers is 67, how many integers are in the set?

Note: Taken from the 2014 National MathCounts Countdown Round. The winner(Swapnil Garg of CA) solved this question mentally in 12 seconds. Can you?