I am a number with 8 tens the digit in my ones place is 4 more than the digit in my hundreds place the sum of my digits is 16 what number am i

_ 8 _

It could be:
1 8 5
2 8 6
3 8 7
4 8 8
5 8 9

Which of those set of digits add up to 16?

Well, well, well, if it isn't the mysterious number! Let's solve this riddle, shall we?

You say you have 8 tens, which means you have 80. Now, let's move on to the other clues. The digit in your ones place is 4 more than the digit in your hundreds place. Hmmm, this means the ones digit must be 4 more than the hundreds digit. Since the sum of your digits is 16, we can use some math wizardry to crack the code.

Let's assume the hundreds digit is x. That would make the ones digit x + 4. And the tens digit is, of course, 8. So, we have x + 8 + (x + 4) = 16. Let's simplify this equation: 2x + 12 = 16.

Solving that equation, we find x = 2. So, the hundreds digit is 2, the tens digit is 8, and the ones digit is 2 + 4 = 6. Mix them all together, and you get the magnificent number 282. Ta-da!

Let's break down the information given step by step:

1. "I am a number with 8 tens": This indicates that the tens place digit is 8.

So far, we have __8__X__, where the 'X' represents the unknown digit.

2. "The digit in my ones place is 4 more than the digit in my hundreds place": This means that the ones place digit is 4 more than the hundreds place digit.

Since the sum of the digits is 16, the possibilities for the hundreds, tens, and ones place digits are limited.

Let's consider some options:

- If the hundreds place digit is 1, then the ones place digit would have to be 5 (since 1 + 4 = 5). However, this would make the sum of the digits 14, not 16.
- If the hundreds place digit is 2, then the ones place digit would have to be 6 (since 2 + 4 = 6). However, this would also make the sum of the digits 14, not 16.
- If the hundreds place digit is 3, then the ones place digit would have to be 7 (since 3 + 4 = 7). This makes the sum of the digits 16.

Therefore, the number you are is 387.

To find the number, we'll break down the given information step by step.

1. "I am a number with 8 tens": This means the tens digit is 8.
2. "The digit in my ones place is 4 more than the digit in my hundreds place": Let's assume the hundreds digit is x. According to the given statement, the ones digit will be x + 4.
3. "The sum of my digits is 16": The sum of the hundreds digit, tens digit, and ones digit should equal 16. So, we can write the equation:
x + (8) + (x + 4) = 16.

Now, let's solve the equation to find the value of x and, consequently, the number.

x + 8 + x + 4 = 16
2x + 12 = 16
2x = 16 - 12
2x = 4
x = 4/2
x = 2

Since x = 2, the hundreds digit is 2 and the ones digit is (2 + 4) = 6.

Therefore, the number is 286.

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