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Two students appeared at an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are:
  • a)
    39, 30
  • b)
    41, 32
  • c)
    42, 33
  • d)
    43, 34
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two students appeared at an examination. One of them secured 9 marks m...
Let their marks be (x + 9) and x.
Then, x + 9 = 56/100(x + 9 + x)
⇒ 25(x + 9) = 14(2x + 9)
⇒ 3x = 99
⇒ x = 33
So, their marks are 42 and 33.
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Most Upvoted Answer
Two students appeared at an examination. One of them secured 9 marks m...
Let's assume the marks obtained by the two students are x and y, where x is the higher score.

According to the given information:
1. One student secured 9 marks more than the other: x = y + 9
2. The higher score is 56% of the sum of their marks: x = 0.56(x + y)

To solve this problem, we can use the given equations to find the values of x and y.

Equation 1: x = y + 9
Equation 2: x = 0.56(x + y)

Now, let's substitute the value of x from Equation 1 into Equation 2:

y + 9 = 0.56(y + 9 + y)

Simplifying the equation:

y + 9 = 0.56(2y + 9)
y + 9 = 1.12y + 5.04
y - 1.12y = 5.04 - 9
-0.12y = -3.96
y = -3.96 / -0.12
y = 33

Now, substitute the value of y back into Equation 1 to find the value of x:

x = y + 9
x = 33 + 9
x = 42

Therefore, the marks obtained by the two students are 42 and 33, which is represented by option C.
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Two students appeared at an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are:a)39, 30b)41, 32c)42, 33d)43, 34Correct answer is option 'C'. Can you explain this answer?
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Two students appeared at an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are:a)39, 30b)41, 32c)42, 33d)43, 34Correct answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Two students appeared at an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are:a)39, 30b)41, 32c)42, 33d)43, 34Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two students appeared at an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are:a)39, 30b)41, 32c)42, 33d)43, 34Correct answer is option 'C'. Can you explain this answer?.
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