what is less than 800 but greater than 780, and it has 8 more tens than ones
the number must be
791
The Answer is 880
To find a number that is less than 800 but greater than 780 and has 8 more tens than ones, we can break down the conditions step by step:
1. Less than 800: This means the hundreds digit must be less than 8. We can start by considering numbers like 700, 710, 720, etc.
2. Greater than 780: This condition limits our options further. From the numbers we considered above, 780 itself satisfies this condition. So we can move on to the next condition.
3. 8 more tens than ones: To satisfy this condition, we need to find a number where the tens digit is exactly 8 greater than the ones digit. This can be expressed as: (10 x tens digit) + ones digit = (10 x ones digit) + 8.
Let's consider the numbers we listed earlier and check if any of them satisfy the third condition:
- For 700: (10 x 7) + 0 = (10 x 0) + 8. This is not true.
- For 710: (10 x 7) + 1 = (10 x 1) + 8. This is not true.
- For 720: (10 x 7) + 2 = (10 x 2) + 8. This is not true.
At this point, we can see that none of the numbers we have considered satisfies all the conditions. Therefore, there is no number that is less than 800 but greater than 780, and has 8 more tens than ones.