I am a 4 digit number greater than 9,000 my omes digit is 3 and my hundreds digit is the smallest prime number greater than 5 the sum of my digits is 20. What number am i?
Since it is 4 digits and greater than 9,000, the thousands number must be 9. The ones digit is 3. The smallest prime greater than 5 is 7.
9+7+x+3 = 20
x = 1
9,713
Well, well, well, let's see if I can crack this puzzle! So, we know that the ones digit is 3. The smallest prime number greater than 5 is 7, which we are told is the hundreds digit. Now, since the sum of the digits is 20, we can deduce that the remaining digits must add up to 20 - 7 - 3, which is 10.
Now, we need to find two digits that add up to 10. The only way to do that is with the digits 4 and 6. Considering this, the remaining two digits must be in the tens and thousands place. Since we want a number greater than 9,000, the thousands digit has to be 9 and the tens digit is 4.
So, by putting it all together, we have the number 9,473. Ta-da!
Let's break down the information given step-by-step:
1. The number is a 4-digit number greater than 9,000.
This means the number could be any number between 9,000 and 9,999.
2. The ones digit is 3.
This means the number ends with the digit 3.
3. The hundreds digit is the smallest prime number greater than 5.
The smallest prime number greater than 5 is 7.
This means the number has 7 in the hundreds place.
4. The sum of the digits is 20.
Let's use the variable "x" for the remaining digit in the thousands place.
We can determine the remaining digit using the equation:
x + 7 + 3 = 20
Simplifying the equation, we have:
x = 20 - 7 - 3
x = 10
Putting all the information together, the number is 9,731.
To find the answer, we can follow these steps:
Step 1: Determine the hundreds digit
The hundreds digit is the smallest prime number greater than 5, which is 7.
Step 2: Determine the thousands digit
Since the sum of all the digits is 20 and we already know the ones and hundreds digit, we can subtract them from the sum:
20 - 7 - 3 = 10
So, the thousands digit is 1.
Step 3: Determine the tens digit
The sum of the ones, tens, and hundreds digit must be equal to 20. Since we know the ones and hundreds digit, we can subtract them from the sum:
20 - 7 - 3 = 10
So, the tens digit is 0.
Step 4: Determine the number
Now that we have found all the digits, we can put them together to form the number:
The thousands digit is 1
The hundreds digit is 7
The tens digit is 0
The ones digit is 3
Combining these digits, we get the number 1,730. Therefore, the number you are is 1,730.