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The sum of three consecutive odd numbers is 147. What is the smallest odd number?
- a)45
- b)47
- c)43
- d)49
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The sum of three consecutive odd numbers is 147. What is the smallest ...
Let the odd numbers are x, x + 2, x + 4.
∴ x + x + 2 + x + 4 = 147
⇒ 3x + 6 = 147
⇒ 3x = 147 – 6
⇒ 3x = 141
Hence, the numbers are 47, 49, 51
∴ Smallest number = 47.
∴ x + x + 2 + x + 4 = 147
⇒ 3x + 6 = 147
⇒ 3x = 147 – 6
⇒ 3x = 141
Hence, the numbers are 47, 49, 51
∴ Smallest number = 47.
Most Upvoted Answer
The sum of three consecutive odd numbers is 147. What is the smallest ...
Explanation:
Given Information:
The sum of three consecutive odd numbers is 147.
Let's assume the three consecutive odd numbers as:
- x (smallest odd number)
- x + 2 (second odd number)
- x + 4 (third odd number)
Sum of the three consecutive odd numbers:
x + (x + 2) + (x + 4) = 147
3x + 6 = 147
3x = 141
x = 47
Therefore, the smallest odd number is 47.
Explanation of the process:
- We let x be the smallest odd number and express the other two consecutive odd numbers in terms of x.
- We then set up an equation based on the given sum of the three consecutive odd numbers.
- By solving the equation, we find the value of x, which represents the smallest odd number.
Conclusion:
The smallest odd number out of three consecutive odd numbers whose sum is 147 is 47.
Given Information:
The sum of three consecutive odd numbers is 147.
Let's assume the three consecutive odd numbers as:
- x (smallest odd number)
- x + 2 (second odd number)
- x + 4 (third odd number)
Sum of the three consecutive odd numbers:
x + (x + 2) + (x + 4) = 147
3x + 6 = 147
3x = 141
x = 47
Therefore, the smallest odd number is 47.
Explanation of the process:
- We let x be the smallest odd number and express the other two consecutive odd numbers in terms of x.
- We then set up an equation based on the given sum of the three consecutive odd numbers.
- By solving the equation, we find the value of x, which represents the smallest odd number.
Conclusion:
The smallest odd number out of three consecutive odd numbers whose sum is 147 is 47.
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The sum of three consecutive odd numbers is 147. What is the smallest odd number?a)45b)47c)43d)49Correct answer is option 'B'. Can you explain this answer?
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The sum of three consecutive odd numbers is 147. What is the smallest odd number?a)45b)47c)43d)49Correct answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sum of three consecutive odd numbers is 147. What is the smallest odd number?a)45b)47c)43d)49Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three consecutive odd numbers is 147. What is the smallest odd number?a)45b)47c)43d)49Correct answer is option 'B'. Can you explain this answer?.
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