Question:

Average age of ten persons learning yoga is 32 years. When the age of their instructor is added, the average age becomes 34 years. The age of their instructor is:

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When adding a new person to an average, multiply the new average by total number of people and subtract the old total to find the new person’s value.
Updated On: Aug 12, 2025
  • 54
  • 52
  • 46
  • 50
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The Correct Option is A

Solution and Explanation

Step 1: Total age of 10 persons = \( 10 \times 32 = 320 \) years.
Step 2: With instructor added, there are 11 persons. New total age = \( 11 \times 34 = 374 \) years.
Step 3: Instructor’s age = New total age − Original total age = \( 374 - 320 = 54 \) years.
Step 4: Elimination: - Option (b) 52 — too low, would make total 372, average not matching.
- Option (c) 46 — far lower, average would drop.
- Option (d) 50 — slightly lower than required, average would be less than 34.
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