Use the clue bellow to find the mystery number:

802

804
806
808
810
812
814
816
818
820
822
824

ABC

A+B+C=16
so A=8
B is O, 1, or 2 maybe if C is low enough

all are even
So B is O, 2, 4,6,or8
8O8 works
I can't any others
817 not all even
826 is to large

Thank you bobpursley

To find the mystery number, we can break down the clue and follow these steps:

1. Start by listing all the possible three-digit numbers that satisfy the given conditions - greater than 800 and less than 825 and all digits are even.

Possible numbers: 802, 804, 806, 808, 810, 812, 814, 816, 818, 820, 822, 824.

2. We need to find the number whose sum of digits equals 16. To do this, we can add up the digits of each number and check if it matches 16.

Sum of digits for each number:
802: 8 + 0 + 2 = 10
804: 8 + 0 + 4 = 12
806: 8 + 0 + 6 = 14
808: 8 + 0 + 8 = 16 [matches]
810: 8 + 1 + 0 = 9
812: 8 + 1 + 2 = 11
814: 8 + 1 + 4 = 13
816: 8 + 1 + 6 =15
818: 8 + 1 + 8 = 17
820: 8 + 2 + 0 = 10
822: 8 + 2 + 2 = 12
824: 8 + 2 + 4 = 14

3. From step 2, we can see that the only number that satisfies the condition of having a sum of digits equal to 16 is 808.

Therefore, the mystery number is 808.