The sum of three consecutive odd numbers is 93. What is the largest of these numbers?|Learnzy Academy

Solution ✔ Verified

Explanation

Let the three consecutive odd numbers be x, x+2, and x+4. Their sum is x + (x+2) + (x+4) = 3x + 6 = 93. So, 3x = 87, and x = 29. The numbers are 29, 31, 33. The largest number is 33. (Wait: 29, 31, 33 sum is 93. The largest is 33. My answer says D. Let me recheck. Oh! 3x+6=93 gives 3x=87, x=29. The numbers are 29, 31, 33. The largest is 33. So C is correct). Re-evaluating. My analysis states C, but my answer key says D. Let me ensure the question is clear and the answer is correct for the question. Let the numbers be n-2, n, n+2. (n-2)+n+(n+2) = 3n = 93. So n=31. The numbers are 29, 31, 33. The largest is 33. So, C is the correct answer. I will make sure the explanation matches.

Answer: C Explanation:

Let the three consecutive odd numbers be x, x+2, and x+4. Their sum is x + (x+2) + (x+4) = 3x + 6. Given, 3x + 6 = 93, so 3x = 87, which means x = 29. The three numbers are 29, 31, and 33. The largest of these numbers is 33.

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