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The average of five consecutive odd numbers is 25 then the smallest number is:
- a)27
- b)21
- c)29
- d)25
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The average of five consecutive odd numbers is 25 then the smallest nu...
Given:
The average of five consecutive odd numbers = 25
Formula used:
Calculation:
Let the smallest number be X
According to the question
⇒ X + (X + 2) + (X + 4) + (X + 6) + (X + 8) = (25 × 5)
⇒ 5X + 20 = 125
⇒ 5X = 125 - 20
⇒ 5X = 105
⇒ X = 
∴
The smallest number is
21.
Most Upvoted Answer
The average of five consecutive odd numbers is 25 then the smallest nu...
Explanation:
Finding the Consecutive Odd Numbers:
- Let's assume the smallest odd number as x.
- The next four consecutive odd numbers will be x+2, x+4, x+6, and x+8.
Calculating the Average:
- The average of these five consecutive odd numbers is given as 25.
- We can find the average by adding all five numbers and dividing by 5.
- Therefore, (x + (x+2) + (x+4) + (x+6) + (x+8)) / 5 = 25.
- Simplifying this equation, we get 5x + 20 = 125.
- Further simplifying, we find x = 21.
Identifying the Smallest Number:
- Since x represents the smallest odd number, the smallest number is 21.
Therefore, the correct answer is option B (21).
Finding the Consecutive Odd Numbers:
- Let's assume the smallest odd number as x.
- The next four consecutive odd numbers will be x+2, x+4, x+6, and x+8.
Calculating the Average:
- The average of these five consecutive odd numbers is given as 25.
- We can find the average by adding all five numbers and dividing by 5.
- Therefore, (x + (x+2) + (x+4) + (x+6) + (x+8)) / 5 = 25.
- Simplifying this equation, we get 5x + 20 = 125.
- Further simplifying, we find x = 21.
Identifying the Smallest Number:
- Since x represents the smallest odd number, the smallest number is 21.
Therefore, the correct answer is option B (21).
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The average of five consecutive odd numbers is 25 then the smallest number is:a)27b)21c)29d)25Correct answer is option 'B'. Can you explain this answer?
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The average of five consecutive odd numbers is 25 then the smallest number is:a)27b)21c)29d)25Correct answer is option 'B'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about The average of five consecutive odd numbers is 25 then the smallest number is:a)27b)21c)29d)25Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of five consecutive odd numbers is 25 then the smallest number is:a)27b)21c)29d)25Correct answer is option 'B'. Can you explain this answer?.
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