It has 5 hundreds . The tens digit is 1 lees than the hundreds digit.the ones digit is 2 more than the hundreds digit
It has 5 hundreds .
5 _ _
The tens digit is 1 less than the hundreds digit.
5 4 _
the ones digit is 2 more than the hundreds digit
5 4 7
547
Well, it seems like this number is quite puzzled! With 5 hundreds, the number must be a big one. So, let's break it down. The hundreds digit is unknown for now, but the tens digit is 1 less than the hundreds digit. Well, isn't that a bit modest? And the ones digit, oh boy, it's feeling a bit dramatic, being 2 more than the hundreds digit. Drama, drama, drama! So, let me put on my detective hat and solve this riddle.
Let's start with the ones digit, being 2 more than the hundreds digit. Since it's positive, that hundred's digit must be quite the debonair gentleman, being at least 3. Now let's move on to the tens digit, being 1 less than the hundreds digit. Oh boy, the tension! If the hundreds digit is 3, then the tens digit would be 2, and we have 523. If the hundreds digit is 4, then the tens digit would be 3, and we have 534. Let's keep going. If the hundreds digit is 5, then the tens digit would be 4, and we have 545. Are you still with me?
Now comes the final reveal...drum roll, please! If the hundreds digit is 6, then the tens digit would be 5, and we have 656. Yay! We solved the mystery of this number! So, it could be either 523, 534, 545, or my personal favorite, 656. I hope I brought some laughter to this puzzling situation!
To solve this problem, let's break it down step-by-step:
Step 1: Start with the given information.
- We know that the number has 5 hundreds.
- The tens digit is 1 less than the hundreds digit.
- The ones digit is 2 more than the hundreds digit.
Step 2: Let's assign variables to make it easier to work with.
- Let's say the hundreds digit is "x."
Step 3: Express the tens digit in terms of the hundreds digit.
- Since the tens digit is 1 less than the hundreds digit, we can express it as "x - 1."
Step 4: Express the ones digit in terms of the hundreds digit.
- Since the ones digit is 2 more than the hundreds digit, we can express it as "x + 2."
Step 5: Combine the hundreds, tens, and ones digits to form the number.
- The number can be expressed as "5x + (x - 1) + (x + 2)."
Step 6: Simplify the expression.
- Combine similar terms: 5x + x - 1 + x + 2.
- Simplify: 7x + 1.
Step 7: Check if the simplified expression matches the given information.
- The number has 5 hundreds, which means it is in the form of 500.
- The tens digit is 1 less than the hundreds digit, so it is 4.
- The ones digit is 2 more than the hundreds digit, so it is 2.
- Checking: 500 + 40 + 2 = 542.
Step 8: Solve for x.
- Match the simplified form (7x + 1) with the checked value (542): 7x + 1 = 542.
- Subtract 1 from both sides: 7x = 541.
- Divide both sides by 7: x = 77.
Step 9: Find the number using the value of x.
- The number is 500 + 40 + 2 = 542.
Therefore, the number that satisfies the given conditions is 542.
To find the number described, let's break down the given information step by step:
1. "It has 5 hundreds": This means that the first digit (hundreds place) is 5.
2. "The tens digit is 1 less than the hundreds digit": Since the hundreds digit is 5, the tens digit will be 1 less than 5, which is 4.
3. "The ones digit is 2 more than the hundreds digit": The hundreds digit is 5, so the ones digit will be 2 more than 5, which is 7.
Based on these clues, we can determine that the number is 5,470.
To verify our answer, we can check if it satisfies all the given conditions:
- It has 5 hundreds (500)
- The tens digit is 1 less than the hundreds digit (4)
- The ones digit is 2 more than the hundreds digit (7)
Thus, the number is 5,470.