Multiple choice

The average age of $5$ teachers is $28$ years. If one teacher is excluded the mean gets reduced by $2$ years. The age of the excluded teacher is ___________.

  1. $26$ years
  2. $33$ years
  3. $36$ years
  4. $35$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial sum = 5 * 28 = 140. New sum (4 teachers) = 4 * 26 = 104. Excluded teacher = 140 - 104 = 36.

AI explanation

Using the fundamental average formula, the total age of the 5 teachers is 5 times 28, which equals 140 years. When one teacher is excluded, the average age of the remaining 4 teachers becomes 26 years, making their total age 4 times 26, or 104 years. The age of the excluded teacher is the difference between the two totals, which is 140 minus 104. The age of the excluded teacher is 36 years.

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