35 is the average marks obtained by 120 students. The average marks of successful candidates was 39 and that of unsuccessful candidates was 15. What is the number of successful candidates in that examination ?a)100b)110c)120d)80Correct answer is option 'A'. Can you explain this answer?

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35 is the average marks obtained by 120 students. The average marks of successful candidates was 39 and that of unsuccessful candidates was 15. What is the number of successful candidates in that examination ?

a)
100
b)
110
c)
120
d)
80

Correct answer is option 'A'. Can you explain this answer?

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35 is the average marks obtained by 120 students. The average marks of...

Let there be x successful candidates in the exam.

Unsuccessful candidates = 120 - x

Total score = 35 x 120

Total score is also equal to x * 39 + (120 - x) * 15

So, x = (35 * 120 - 120 * 15)/ 24 = 120 * 20 / 24 = 100

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