Question 123

Average score of a class of 50 students, in an exam is 34. Average score of the students who have passed is 52 and the average score of students who have failed is 16. How many students have failed in the exam?

Solution

Let the number of students who failed = $$x$$

=> Number of students who passed = $$(50 - x)$$

Acc. to ques,

=> $$\frac{(52 \times (50 - x)) + (16 \times x)}{50} = 34$$

=> $$52 \times 50 - 52x + 16x = 34 \times 50$$

=> $$52x - 16x = 50 \times (52 - 34)$$

=> $$36x = 50 \times 18$$

=> $$x = \frac{50 \times 18}{36} = 25$$

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