Sam, Kim, and Helen played a number guessing game. Sam wrote 3 numbers on a piece of paper and gave Kim and Helen 3 clues. a) The sum of the numbers is 17. b) All the numbers are different. c) Each nu

Question

Sam, Kim, and Helen played a number guessing game. Sam wrote 3 numbers on a piece of paper and gave Kim and Helen 3 clues. a) The sum of the numbers is 17. b) All the numbers are different. c) Each number is less than 8. Which 3 numbers did Sam write down? Explain your reason.

Answer 1

S+K+L =17

all less than 8

all different numbers

7, 6 and 4

assuming they have to be integers.

nothing else works