Hi Cecille,

choose any three digits that are less than ten.

Say 2, 4, 7

make all the two digit number you can using those three digits.

24, 27, 47, 42, 72, 74.

add up the two digit numbers you created

24 + 27 + 47 + 42 + 72 + 74 = 286

and divided by the sum of the original three digits.

I think it should be ``divide IT by the sum ...''
The sum is 2 + 4 + 7 = 13, so I divide 286 by 13

record your answer.

286/13 = 22, with no remainder.

then do it again with another three digits.

Say 1, 3, 4. I get 13, 14, 34, 31, 41, 43,
and their sum is 13 + 14 + 34 + 31 + 41 + 43 = 176
The sum of the three digits is 1 + 3 +4 = 8.
176/8 = 22, with no remainder

write your observation about the answer.

Twice I get the same result: 22 with no remainder.
I wonder if starting with any three digits will always give a result of 22.

Claude