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The sum of three consecutive odd numbers is 63 find them?
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The sum of three consecutive odd numbers is 63 find them?
Understanding the Problem
To find three consecutive odd numbers that sum up to 63, we can represent these numbers algebraically. Let’s denote the first odd number as \( x \). The next two consecutive odd numbers can then be expressed as \( x + 2 \) and \( x + 4 \).
Setting Up the Equation
Now, we can set up the equation based on their sum:
The equation will be:
\[ x + (x + 2) + (x + 4) = 63 \]
Simplifying the Equation
Combining like terms:
\[ 3x + 6 = 63 \]
Next, we will isolate \( x \):
Finding the Consecutive Odd Numbers
Now that we have \( x \), we can find the three consecutive odd numbers:
Conclusion
Thus, the three consecutive odd numbers that sum to 63 are:
These numbers confirm that their sum is indeed 63.
To find three consecutive odd numbers that sum up to 63, we can represent these numbers algebraically. Let’s denote the first odd number as \( x \). The next two consecutive odd numbers can then be expressed as \( x + 2 \) and \( x + 4 \).
Setting Up the Equation
Now, we can set up the equation based on their sum:
- First Odd Number: \( x \)
- Second Odd Number: \( x + 2 \)
- Third Odd Number: \( x + 4 \)
The equation will be:
\[ x + (x + 2) + (x + 4) = 63 \]
Simplifying the Equation
Combining like terms:
\[ 3x + 6 = 63 \]
Next, we will isolate \( x \):
- Subtract 6 from both sides: \( 3x = 63 - 6 \)
- Which simplifies to: \( 3x = 57 \)
- Now divide by 3: \( x = 19 \)
Finding the Consecutive Odd Numbers
Now that we have \( x \), we can find the three consecutive odd numbers:
- First Number: \( x = 19 \)
- Second Number: \( x + 2 = 21 \)
- Third Number: \( x + 4 = 23 \)
Conclusion
Thus, the three consecutive odd numbers that sum to 63 are:
- 19
- 21
- 23
These numbers confirm that their sum is indeed 63.
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The sum of three consecutive odd numbers is 63 find them?
Question Description
The sum of three consecutive odd numbers is 63 find them? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of three consecutive odd numbers is 63 find them? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three consecutive odd numbers is 63 find them?.
The sum of three consecutive odd numbers is 63 find them? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of three consecutive odd numbers is 63 find them? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three consecutive odd numbers is 63 find them?.
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