+0

# help

0
104
2

Find the smallest positive multiple of nine containing only even digits.

Dec 15, 2019

### Best Answer

#1
+245
+2

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

Dec 15, 2019

### 2+0 Answers

#1
+245
+2
Best Answer

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

atlas9 Dec 15, 2019
#2
+108790
+2

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

Dec 15, 2019