Find the smallest positive multiple of nine containing only even digits.
i don't have a logical way of solving this, i just did 9+9+9... until i found a number with even digits :) i think the answer is 288.
ps. i didn't do that in my head i don't have enough brain cells to add 9 until 288 lol
I did it in a similar way only I looked for little shortcuts
In order for a number to be divisable by 9 its digits must add to a multiple of 9
For 2 digit numbers it is impossible for them both to be even
So I wll consider 3 digit numbers
207 is the smallest one with the first digit even.
If the first digit is 2 then the last two digits add to 7 or 16.
Adding to 7 is no good, no 2 even numbers add to 7
What even numbers add to 16 ? 8 and 8 are the only ones.
So the answer must be 288