Multiple choice

The average age of class-I and class-II is 15 years. Average age of class-I is 12 years and average age of class-II is 19 years. If number of students in class-I is 48. Then find the number of students in class-II. कक्षा-I और कक्षा-II की औसत आयु 15 वर्ष है । कक्षा-I की औसत आयु 12 वर्ष है और कक्षा-II की औसत आयु 19 वर्ष है । यदि कक्षा-I में छात्रों की संख्या 48 है, तो कक्षा-II में छात्र की संख्या ज्ञात कीजिये ।

  1. 72

  2. 60

  3. 48

  4. 36

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

Let students in class II be x. Total students = 48+x. Total sum of ages = 48×12 + x×19. Average = (48×12 + x×19)/(48+x) = 15. Cross-multiplying: 576 + 19x = 720 + 15x. Therefore 4x = 144, and x = 36.