Question 19
John received a box containing some marbles. Upon inspecting the marbles, he immediately discarded 7 that were chipped. He then gave one-fifth of the marbles to his brother. After adding the remaining marbles to his original collection of 14, John discovered that he could divide his marbles into groups of 6 with exactly 2 left over or he could divide his marbles into groups of 5 with none left over. What is the smallest possible number of marbles that John received from the box?