10. The product of three different positive integers is 24 . What is the largest possible sum of these integers?
A 9
B 11
C 12
D 15
E 16
Solution
D

The possible sets of three different positive integers with a product of 24 are $1,2,12 ; 1,3,8$; $1,4,6$ and $2,3,4$ with corresponding sums $15,12,11$ and 9 . Therefore the largest possible sum of these integers is 15 .