Question
The average of 7 consecutive odd numbers is 39. What is
the smallest of these numbers?Solution
For consecutive odd numbers, the middle (4th) number = average. So 4th number = 39. Sequence: 1st, 2nd, 3rd, (4th) 39, 5th, 6th, 7th Difference between consecutive odd numbers is 2. So: 3rd = 39 − 2 = 37 2nd = 35 1st = 33 But we went backward incorrectly—let’s correct: 4th = 39 3rd = 39 − 2 = 37 2nd = 35 1st = 33 So smallest = 33 (Option C). Double-check calculation: yes.
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