**Quote:**

(2) The largest number of the three distinct numbers is 24. Directly gives the value of cc. Sufficient.

With #2 alone, c*x = 576, which means a*b = 24, there are two solutions with distinct positive integers.

a = 3, b=8, c=24

a*b*c = 3*8*24 = 576 = 24^2

a = 4, b=6, c=24

a*b*c = 4*6*24 = 576 = 24^2

Using the information from 1), we know that a=3, b=8 is not correct. However, I don't see how we would know this from 2) alone.

Please explain.