Question

If the mean of 5 positive integers is 15, what is the maximum possible difference between the largest and the smallest of these 5 numbers?

Answer 1

64

Explanation:

If the mean is 15, the sum of 5 numbers is:

• 5*15 = 75

Minimum value for the first four numbers would be:

• 1, 2, 3, 4

Then the fifth number is:

• 75 - (1+2+3+4) = 75 - 10 = 65

So the maximum difference is:

• 65 - 1 = 64