27
13 + 14 = 27.
12 13 14 * * * * * 12 + 13 + 14 = 39, not 45. The correct answer is 14, 15 and 16.
12, 13 and 14
The numbers are 13 and 14.
Between 13 and 15 there is only one even integer: 14.
13 + 14 = 27.
The answer is 39.
4
12 13 14 * * * * * 12 + 13 + 14 = 39, not 45. The correct answer is 14, 15 and 16.
The sum of 3/14 and 13/21 is 5/6.
93
13
The numbers are 13 and 14.
12, 13 and 14
Between 13 and 15 there is only one even integer: 14.
To find positive integers that sum to 14 and have the smallest product, we can use the fact that the product of numbers is minimized when the numbers are as far apart as possible. The optimal way to split 14 is into one integer of 1 and the other of 13, resulting in the integers 1 and 13. The product of these two integers is (1 \times 13 = 13), which is the smallest possible product for integers that sum to 14.
13+14+15 = 42