Question
The average of 9 consecutive integers is 23. What is the
sum of the smallest three integers?Solution
Let the integers be x, x+1, x+2, ..., x+8. Average = (Sum of all integers) / 9. 23 = (9x + 36) / 9. 23 × 9 = 9x + 36. 207 - 36 = 9x. x = 19. The smallest three integers are 19, 20, 21. Sum = 19 + 20 + 21 = 60. Correct option: a
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