Multiple choice

Twelve students lived in a hostel, and 9 years ago, the combined total of their ages was 190 years.5 years after that, one person aged 24 leaves the hostel and a new person of age 18 years joined the hostel. Then after another 2 years , another person of 24 years leaves the hostel , and again, a new person of 20 years joined the hostel. The current average age of 12 students in the hostel ?

  1. 24 years

  2. 20 years

  3. 16 years

  4. 12 years

  5. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total age 9 years ago was 190. 9 years later (current), total age would be 190 + (12 * 9) = 298. Accounting for the replacements: -24+18 (net -6) and -24+20 (net -4), total is 298 - 10 = 288. Average = 288/12 = 24.