What is the largest positive integer with only even digits that is less than 10,000 and is a multiple of 9?

Guest May 18, 2020

edited by
Guest
May 18, 2020

#1**0 **

The largest integer less than 10000 is 8888, since each digit is the largest even.

8 * 4= 32, which isn't divisible by 9.

All multiples of 9 equal or less than 32:

9

18

27

We can't get 9 or 27 since those are odd and we can only subtract two(to get the next largest even)

So 32 - 18 = 14, so we have14/2 = 7. So we can only subtract 8/2 = 4 sets of 2's from the ones digit, so that's 8880.7-4 is 3 so we subtract 3*2 = 6 from the tens so 8820.

8+8+2 = 18

If you don't understand anythign feel free to ask!

hugomimihu May 18, 2020