I am a 3 digit number when i am rounded to the nearest 100 I become 800 when i am rounded to my hundreds digit does not change i have more ones than 10 I am even the sum of my digits is 20 what number am i
It would help if you proofread your questions before you posted them.
How is "rounded to the nearest 100" different from "rounded to my hundreds digit"?
The first number must be 7 or 8.
Ones number must be even: 2, 4, 6 or 8.
758 would add to 20.
848 would add to 20.
Clarifying your problem for the tens digit might help you choose the right answer.
To find the number that satisfies all the given conditions, we need to break down each condition and analyze them separately.
Condition 1: When rounded to the nearest 100, the number becomes 800.
When we round the 3-digit number to the nearest 100, it means that the number must be between 750 and 850. Given that the rounded value is 800, we can surmise that the original number falls between 750 and 850.
Condition 2: When rounded to the hundreds digit, the number does not change.
This condition implies that the tens and ones digits must be zero. As a result, the number must be a multiple of 100.
Condition 3: The number has more ones than tens.
Since we know that the tens digit must be zero, and that the number has more ones than tens, the number must have at least two ones. Additionally, the sum of the digits is 20, so the number must have a tens digit of zero, a ones digit greater than or equal to 2, and a hundreds digit that results in a sum of 20 when added to the digits in the ones place.
Let's analyze the possible numbers that satisfy these conditions:
750: This number does not have a ones digit greater than the tens digit (5>0), so it does not satisfy the conditions.
760: The ones digit is greater than the tens digit (6>0), but the sum of the digits is 13, which does not satisfy the condition.
770: This number does not have a ones digit greater than the tens digit (7>0), so it does not satisfy the conditions.
780: This number does not have more ones than tens, so it does not satisfy the conditions.
790: This number does not have more ones than tens, so it does not satisfy the conditions.
800: This number has a ones digit greater than the tens digit (0>0), but the sum of the digits is 8, which does not satisfy the condition.
810: This number has a ones digit greater than the tens digit (1>0), and the sum of its digits is 9. Since the sum must be 20, this number does not satisfy the conditions.
820: This number has a ones digit greater than the tens digit (2>0), and the sum of its digits is 10. Since the sum must be 20, this number does not satisfy the conditions.
830: This number has a ones digit greater than the tens digit (3>0), and the sum of its digits is 11. Since the sum must be 20, this number does not satisfy the conditions.
840: This number has a ones digit greater than the tens digit (4>0), and the sum of its digits is 12. Since the sum must be 20, this number does not satisfy the conditions.
850: This number does not have a ones digit greater than the tens digit (5>0), so it does not satisfy the conditions.
Based on the analysis, there is no 3-digit number that satisfies all the given conditions.