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Identify the number which has 4 in the tens place and 8 in the thousands place. The digit in the ones place is half the sum of the digits in the tens and thousands places, and the digit in the hundreds place is six less than the digit in the ones place.

Find the number.

Sagot :

GinnyAnsweridn
Let's solve the problem step by step.

1. Identify the given digits in their respective places:
- The thousands place has the digit 8.
- The tens place has the digit 4.

2. Determine the digit in the ones place:
- According to the problem, the digit in the ones place is half the sum of the digits in the tens and thousands places.
- The tens place digit is 4, and the thousands place digit is 8.
- Sum of tens and thousands place digits = 4 + 8 = 12.
- Half of this sum = 12 / 2 = 6.
- Therefore, the digit in the ones place is 6.

3. Determine the digit in the hundreds place:
- The problem states that the digit in the hundreds place is six less than the digit in the ones place.
- The ones place digit is 6.
- Six less than 6 is 0.
- Therefore, the digit in the hundreds place is 0.

4. Form the complete number:
- Now we have all the digits:
- Thousands place: 8
- Hundreds place: 0
- Tens place: 4
- Ones place: 6

- Placing these digits in their respective positions, we get the number 8046.

Therefore, the number that satisfies all the given conditions is 8046.
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