2011-11-09, 01:38 PM
8) 103 but that took me a LOOOOOOOOOOOOONG time to find out. I just went through most 1-1 combos possible from 80 to 103 (since numbers before 80 are easy to make).
10) It's impossible to make a number that's not multiple of 3 with 3 numbers that are multiples of 3.
3n + 3m + 3k = 100, where n, m and k are integers.
n + m + k = 100/3 the sum of three integers can't be equal to a rational number.
For 4 triples the same reasoning goes,
3n + 3m + 3k + 3p = 100
n + m + k + p = 100/3, the sum of 4 integers can't be equal to a rational number.
10) It's impossible to make a number that's not multiple of 3 with 3 numbers that are multiples of 3.
3n + 3m + 3k = 100, where n, m and k are integers.
n + m + k = 100/3 the sum of three integers can't be equal to a rational number.
For 4 triples the same reasoning goes,
3n + 3m + 3k + 3p = 100
n + m + k + p = 100/3, the sum of 4 integers can't be equal to a rational number.