I am five digit number greater than 40,000 but less than 60,000.My ones digit is 3 more than my ten thousands digit.All my numbers are the same.The sum of my digit is 28.What number I am?
You probably mean
"All my other digits are the same."
"I am five digit number greater than 40,000 but less than 60,000."
means that the first digit is either 4 or 5.
"My ones digit is 3 more than my ten thousands digit"
means that the first and last digits are either
a) "4XXX7", or
b) "5XXX8"
"All my other digits are the same."
means that the three middle digits are the same.
"The sum of my digit is 28.What number I am?"
means that
a) 28 - (4+7) must be divisible by 3
Since 17 is not divisible by 3, so it must be the other case
b) 28 - (5+8)=15, so the middle digits are 555, or the 5-digit number is
55558.
Well, well, well, looks like we have a numerical mystery to solve! Let's put our mathematical detective hats on, shall we?
Okay, let's break it down. We have a five-digit number greater than 40,000 but less than 60,000. So, it falls in the range of 40,000 to 59,999. Got it!
Next, we're told that the ones digit is 3 more than the ten thousands digit. Hmmm, that's interesting! Since all the digits are the same, let's call that digit "X."
Now, according to our clue, (X + 3) should be the ones digit, and X should be the ten thousands digit. That means our number would look something like this: X _ _ _ X.
Lastly, the sum of all the digits is 28. Alright, time for some addition fun! The number is X _ _ _ X, and we also know that X + X + X + X + (X + 3) = 28.
If we solve this little equation, we get 5X + 3 = 28. Subtracting 3 from both sides gives us 5X = 25, and dividing both sides by 5 results in X = 5.
So, our number is 50,053! Ta-da! Mystery solved! I must say, it's quite an impressive number. I hope you and your number have an enjoyable time together!
Let's go step by step to find the number.
Step 1: The number is greater than 40,000 and less than 60,000, so it falls in the range 40,000 - 59,999.
Step 2: The ones digit is 3 more than the ten thousands digit. This means that the ten thousands digit cannot be greater than 5.
Step 3: All the digits are the same, so the ten thousands digit, thousands digit, hundreds digit, and tens digit are all identical. Let's call this digit "x".
Step 4: The sum of the digits is 28. Since there are five digits, and they are all "x", we can write the equation as:
x + x + x + x + (x+3) = 28
Simplifying this equation, we get:
5x + 3 = 28
Step 5: Subtracting 3 from both sides of the equation, we have:
5x = 25
Step 6: Dividing both sides of the equation by 5, we find:
x = 5
Step 7: Now we have the value of x, which is 5. This means that all the digits in the number are 5.
Therefore, the number you are is 55,533.
To find the five-digit number that satisfies the given conditions, we can break down the information and use a step-by-step approach.
1. Start by determining the range of possibilities. The number is greater than 40,000 and less than 60,000. Therefore, the ten thousands digit must be in the range of 4 to 5.
2. Since all the digits in the number are the same, we can represent the number as "DDDDD", with D representing the unknown digit.
3. We know that the ones digit is 3 more than the ten thousands digit. So, we can express it as D + 3.
4. The sum of all the digits is given as 28. Since all the digits are the same, we can calculate the sum by multiplying the single digit by 5 (the number of digits). Thus, the equation is: D + D + D + D + D = 5D = 28.
5. Solve the equation 5D = 28 to find the value of D. Divide both sides by 5: D = 28 / 5 = 5.6.
6. Since D must be an integer (since it represents a single digit), round down the result: D = 5.
7. Now that we know the value of D, we can construct the number with the known digit pattern: 55,555.
Therefore, the number you are is 55,555.