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1. The sum of five consecutive integers is equal to 3 times the largest. What is the largest of the integers?
- A. 8
- B. 8
- C. 8
- D. 8
Answer: Option D
Explanation:
Let the integers from smallest to largest be x - 2, x - 1, x, x + 1 & x + 2 respectively.
Then, x - 2 + x - 1 + x + x + 1 + x + 2 = 3(x + 2)
or, 5x = 3x + 6
or, 5x - 2x = 6
or, 2x = 6
or, x = 3
So, the largest intger is 3 + 2 = 5.
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