Answer:
226
Step-by-step explanation:
Let x = mystery number
If x rounds to the nearest hundred, 150 ≤ x ≤ 249
Therefore, it has 3 digits.
The sum of its digits = 10. Therefore, the combinations are:
1, 5, 4 rounds to 150 (sum of 6)
1, 6, 3 rounds to 160 (sum of 7)
1, 7, 2 rounds to 170 (sum of 8)
1, 8, 1 rounds to 180 (sum of 9)
1, 9, 0 rounds to 190 (sum of 10)
2, 0, 8 rounds to 200 (sum of 2)
2, 1, 7 rounds to 220 (sum of 4)
2, 2, 6 rounds to 230 (sum of 5)
2, 3, 5 rounds to 240 (sum of 6)
2, 4, 4 rounds to 240 (sum of 6)
The only sum of 3 digits that rounds to 5 is 226
Therefore x = 226
