Multiple choice

The average age of a batch of 19 members is 24 years. If the age of the faculty be included, then the average increases by 4 months. What is the age of the faculty?

  1. 35 years

  2. 30 years 8 months

  3. 37 years 4 months

  4. 32 years 8 months
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total age of 19 members = 19 * 24 = 456 years. New total age (20 people) = 20 * (24 years + 4 months) = 20 * 24 years + 20 * 4 months = 480 years + 80 months = 480 + 6 years + 8 months = 486 years 8 months. Faculty age = 486y 8m - 456y = 30 years 8 months.

AI explanation

The total age of the 19 members is 19 multiplied by 24, which equals 456 years. When the faculty is included, the average becomes 24 years and 4 months, which is 24 + 1/3 = 73/3 years. The new total age for the 20 people is 20 multiplied by 73/3, equaling 1460/3 years. The faculty's age is the new total minus the members' total, which is 1460/3 - 456, giving 488/3 years, or 30 years and 8 months.

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