MathDB
2014 General #5

Source:

July 4, 2022
2014General Test

Problem Statement

Screws are sold in packs of 1010 and 1212. Harry and Sam independently go to the hardware store, and by coincidence each of them buys exactly kk screws. However, the number of packs of screws Harry buys is different than the number of packs Sam buys. What is the smallest possible value of kk?