Question

Each of the whole numbers 1 through 9 is written on 9 cards, one number per card. Three cards are dealt to each of three players. The sum of player one's cards is 15. The sum of player two's cards is 23. What is the highest single card player three could possibly have?

Answer 1

the highest single card player three could possibly have = {4}

Explanation:

total cards = 9

whole numbers on the cards = {1, 2, 3, 4, 5, 6, 7, 8, 9}

sum of player one's cards is 15, so the three cards owned by player one are:

player 1 = {3, 5, 7}

sum of player two's cards is 23, so the three cards owned by player two are:

player 2 = {6, 8, 9}

the three cards left for player 3 are:

player 3 = {1, 2, 4}

thus, the highest single card player three could possibly have = {4}