Question:

The total of 8 consecutive numbers is 108. The largest of these numbers is .

Show Hint

Use the average of the 8 numbers to locate the sequence.
  • 10
  • 12
  • 14
  • 17
Show Solution
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The Correct Option is D

Solution and Explanation

Step 1: Let the smallest of the 8 consecutive numbers be \( x \). The numbers are \( x, x+1, x+2, \ldots, x+7 \).
Step 2: Sum \( = 8x + (0+1+2+\cdots+7) = 8x + 28 \).
Step 3: Set the sum equal to 108: \( 8x + 28 = 108 \Rightarrow 8x = 80 \Rightarrow x = 10 \).
Step 4: The largest number \( = x + 7 = 17 \).
Answer: 17.
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