Correct Answer - Option 1 : 57
Given:
Total number of students in section A = 60
Total number of students in section B = 70
Average score of students of section A in mathematics = 70
Average score of students of sections A and B together in mathematics = 63
Formula Used:
Average Score = Total Score / Total number of students
Calculation:
Let the average score of all the students of section B in mathematics = x
Total score of all the students in mathematics of section A = 60 × 70 = 4200
Total score of all the students in mathematics of section B = 70 × x = 70x
Total score of all the students in mathematics of sections A and B together = (60 + 70) × 63 = 8190
Hence, we get:
4200 + 70x = 8190
⇒ 70x = 3990
⇒ x = 57
∴ The average score of students of section B in mathematics is 57