hELP THEISNUMBER IS GREATER THAN 700,000- THE SUM OF ALL ITS DIGITS IS 14- ITHAS NO ZEROS- THE HUNDREDS DITIT IS 3
First, please do not use all capitals. Online it is like SHOUTING. Not only is it rude, but it is harder to understand. Thank you.
700,300 to make the sum of digits = 14 --> 711,311
To solve the problem, let's break it down step-by-step:
Step 1: The number is greater than 700,000.
This means that the number we are looking for is a six-digit number since it must be greater than 700,000.
Step 2: The sum of all its digits is 14.
To find the number, we need to find a combination of digits whose sum is 14. Since the hundreds digit is 3, we have three digits left to make up the sum of 14.
Step 3: It has no zeros.
Since the number has no zeros, we can exclude zero from the possible combinations of digits.
Now, let's find the possible combinations of three digits whose sum is 14 and exclude those containing zero:
1 + 4 + 9 = 14 (includes zero)
2 + 4 + 8 = 14 (includes zero)
3 + 4 + 7 = 14 (excludes zero)
4 + 4 + 6 = 14 (includes zero)
5 + 4 + 5 = 14 (excludes zero)
6 + 4 + 4 = 14 (includes zero)
7 + 4 + 3 = 14 (excludes zero)
8 + 4 + 2 = 14 (includes zero)
9 + 4 + 1 = 14 (includes zero)
From the combinations above, we can see that 3 + 4 + 7 = 14 satisfies the conditions of the problem.
Therefore, the number we are looking for is 734,000.
To solve this problem, we need to find a number that meets the given conditions:
1. The number is greater than 700,000.
2. The sum of all its digits is 14.
3. It has no zeros.
4. The hundreds digit is 3.
Let's break down the problem step by step:
Step 1: The number is greater than 700,000.
To start with, let's try to find a number greater than 700,000 that satisfies the other conditions.
Step 2: The hundreds digit is 3.
Since the hundreds digit is 3, the number we are looking for will have a digit of 3 in the hundreds place.
Step 3: The sum of all digits is 14.
To meet this condition, we need to distribute the remaining 11 among the other four digits without using any zeros.
Step 4: The number has no zeros.
Based on the given conditions, we know that the number should not contain any zeros.
With these conditions in mind, we can now systematically find the number that meets all the criteria.
Let's try out a few examples:
Option 1: 738,651
In this example, the number is greater than 700,000 and has 3 as the hundreds digit. However, the sum of its digits exceeds 14.
Option 2: 735,421
In this example, the number is greater than 700,000 and has 3 as the hundreds digit. However, the sum of its digits is 15, which exceeds 14.
Option 3: 753,411
In this example, the number is greater than 700,000 and has 3 as the hundreds digit. The sum of its digits is 21, which exceeds 14.
We can continue trying different combinations until we find the correct number that meets all the given conditions.
Option 4: 753,111
In this example, the number is greater than 700,000 and has 3 as the hundreds digit. The sum of its digits is 14, which matches the given condition. Furthermore, the number contains no zeros.
Therefore, the number that satisfies all the given conditions is 753,111.