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The sum of three consecutive odd numbers is 99. What is the difference of smallest and largest odd number?
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The sum of three consecutive odd numbers is 99. What is the difference...
Let the three consecutive odd numbers be x, x +2, x + 4.
∴ x + x + 2 + x + 4 = 99
⇒ 3x + 6 = 99
⇒ 3x = 93
⇒ x = 31
∴ The numbers are 31,33,35
Hence, difference = 35 – 31 = 4
∴ x + x + 2 + x + 4 = 99
⇒ 3x + 6 = 99
⇒ 3x = 93
⇒ x = 31
∴ The numbers are 31,33,35
Hence, difference = 35 – 31 = 4
Most Upvoted Answer
The sum of three consecutive odd numbers is 99. What is the difference...
Problem: The sum of three consecutive odd numbers is 99. What is the difference between the smallest and largest odd number?
Solution:
Let's solve this problem step by step.
Step 1: Determine the three consecutive odd numbers.
We can represent the three consecutive odd numbers as x, x+2, and x+4, where x is the smallest odd number.
Step 2: Set up an equation based on the given information.
The sum of the three consecutive odd numbers is 99. So, we can write the equation as:
x + (x+2) + (x+4) = 99
Step 3: Simplify the equation.
Combine like terms:
3x + 6 = 99
Subtract 6 from both sides:
3x = 93
Divide both sides by 3:
x = 31
Step 4: Find the largest odd number.
The largest odd number can be found by adding 4 to the smallest odd number:
Largest odd number = x + 4 = 31 + 4 = 35
Step 5: Find the difference between the smallest and largest odd number.
Difference = Largest odd number - Smallest odd number = 35 - 31 = 4
Therefore, the difference between the smallest and largest odd number is 4. Hence, the correct answer is option 'D'.
Solution:
Let's solve this problem step by step.
Step 1: Determine the three consecutive odd numbers.
We can represent the three consecutive odd numbers as x, x+2, and x+4, where x is the smallest odd number.
Step 2: Set up an equation based on the given information.
The sum of the three consecutive odd numbers is 99. So, we can write the equation as:
x + (x+2) + (x+4) = 99
Step 3: Simplify the equation.
Combine like terms:
3x + 6 = 99
Subtract 6 from both sides:
3x = 93
Divide both sides by 3:
x = 31
Step 4: Find the largest odd number.
The largest odd number can be found by adding 4 to the smallest odd number:
Largest odd number = x + 4 = 31 + 4 = 35
Step 5: Find the difference between the smallest and largest odd number.
Difference = Largest odd number - Smallest odd number = 35 - 31 = 4
Therefore, the difference between the smallest and largest odd number is 4. Hence, the correct answer is option 'D'.
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The sum of three consecutive odd numbers is 99. What is the difference of smallest and largest odd number?a)1b)2c)3d)4Correct answer is option 'D'. Can you explain this answer?
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The sum of three consecutive odd numbers is 99. What is the difference of smallest and largest odd number?a)1b)2c)3d)4Correct answer is option 'D'. 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 99. What is the difference of smallest and largest odd number?a)1b)2c)3d)4Correct answer is option 'D'. 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 99. What is the difference of smallest and largest odd number?a)1b)2c)3d)4Correct answer is option 'D'. Can you explain this answer?.
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