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The hunreds digit in a 3-digit number is more than the digit at the tens place and 5 more than the digit at the ones place.if the sum of the three digits is 12,find the number.?
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The hunreds digit in a 3-digit number is more than the digit at the te...
Given Information:
- The hundreds digit is more than the digit at the tens place.
- The hundreds digit is 5 more than the digit at the ones place.
- The sum of the three digits is 12.
Let's Break Down the Problem:
1. Let the hundreds, tens, and ones digits be represented by x, y, and z respectively.
2. From the given information, we have the following equations:
- x > y
- x = z + 5
- x + y + z = 12
3. We can substitute the value of x from the second equation into the third equation:
- (z + 5) + y + z = 12
- 2z + y + 5 = 12
- 2z + y = 7
4. Now, we can try different values of z (ones digit) to satisfy the equation 2z + y = 7:
- If z = 1, then y = 5
- If z = 2, then y = 3
- If z = 3, then y = 1
5. Since x = z + 5, we can find the hundreds digit:
- If z = 1, then x = 6
- If z = 2, then x = 7
- If z = 3, then x = 8
Therefore, the possible numbers are:
- 631
- 732
- 831
Conclusion:
- The number that satisfies all the given conditions is 732.
- The hundreds digit is more than the digit at the tens place.
- The hundreds digit is 5 more than the digit at the ones place.
- The sum of the three digits is 12.
Let's Break Down the Problem:
1. Let the hundreds, tens, and ones digits be represented by x, y, and z respectively.
2. From the given information, we have the following equations:
- x > y
- x = z + 5
- x + y + z = 12
3. We can substitute the value of x from the second equation into the third equation:
- (z + 5) + y + z = 12
- 2z + y + 5 = 12
- 2z + y = 7
4. Now, we can try different values of z (ones digit) to satisfy the equation 2z + y = 7:
- If z = 1, then y = 5
- If z = 2, then y = 3
- If z = 3, then y = 1
5. Since x = z + 5, we can find the hundreds digit:
- If z = 1, then x = 6
- If z = 2, then x = 7
- If z = 3, then x = 8
Therefore, the possible numbers are:
- 631
- 732
- 831
Conclusion:
- The number that satisfies all the given conditions is 732.
Community Answer
The hunreds digit in a 3-digit number is more than the digit at the te...
The required equation is ( 8 + x ) + (5 + x ) + x = 12
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The hunreds digit in a 3-digit number is more than the digit at the tens place and 5 more than the digit at the ones place.if the sum of the three digits is 12,find the number.?
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The hunreds digit in a 3-digit number is more than the digit at the tens place and 5 more than the digit at the ones place.if the sum of the three digits is 12,find the number.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The hunreds digit in a 3-digit number is more than the digit at the tens place and 5 more than the digit at the ones place.if the sum of the three digits is 12,find the number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hunreds digit in a 3-digit number is more than the digit at the tens place and 5 more than the digit at the ones place.if the sum of the three digits is 12,find the number.?.
The hunreds digit in a 3-digit number is more than the digit at the tens place and 5 more than the digit at the ones place.if the sum of the three digits is 12,find the number.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The hunreds digit in a 3-digit number is more than the digit at the tens place and 5 more than the digit at the ones place.if the sum of the three digits is 12,find the number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hunreds digit in a 3-digit number is more than the digit at the tens place and 5 more than the digit at the ones place.if the sum of the three digits is 12,find the number.?.
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