Use the clue bellow to find the mystery number:
- The mystery number has 3 digits
- The sum of the digits in the mystery number equals 16
- The mystery number is greater than 800 and less than 825
- All digits in the mistery number are even.
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.