At Willy Wonka’s chocolate factory, sweets are always packed into boxes of \(3\).
One day, Charlie, Veruca and Augustus each bring a bag of sweets to the factory. Charlie has some number of sweets, Veruca has one more sweet than Charlie, and Augustus has one more than Veruca.
When they put all their sweets together, will they be able to pack them perfectly into boxes of \(3\), with no sweets left over?