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Two students appeared for an examination. One of them secured 22 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are _______.
  • a)
    121 and 99
  • b)
    43 and 21
  • c)
    58 and 36
  • d)
    86 and 64
  • e)
     None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two students appeared for an examination. One of them secured 22 marks...
Two students appeared for an examination. One of them secured 22
marks more than the other and his marks were 55% of the sum of
their marks
Let the students be A and B
Let the marks secured by B = x
Marks secured by A = x + 22
Sum of their marks of A & B = x + x + 22 = 2x + 22
Accoring to question, 
Marks of A =  55% of the sum of marks
⇒  x + 22 = 0.55 × (2x + 22) 
⇒ x + 22 = 1.1x + 12.1
⇒ 0.1x = 9.9
⇒ x = 9.9/0.1 = 99 marks
Marks secured by A = 99 + 22 = 121 marks
Therefore the correct answer is 121.
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Most Upvoted Answer
Two students appeared for an examination. One of them secured 22 marks...
Two students appeared for an examination. One of them secured 22
marks more than the other and his marks were 55% of the sum of
their marks
Let the students be A and B
Let the marks secured by B = x
Marks secured by A = x + 22
Sum of their marks of A & B = x + x + 22 = 2x + 22
Accoring to question, 
Marks of A =  55% of the sum of marks
⇒  x + 22 = 0.55 × (2x + 22) 
⇒ x + 22 = 1.1x + 12.1
⇒ 0.1x = 9.9
⇒ x = 9.9/0.1 = 99 marks
Marks secured by A = 99 + 22 = 121 marks
Therefore the correct answer is 121.
Free Test
Community Answer
Two students appeared for an examination. One of them secured 22 marks...
Given:
- Two students appeared for an examination.
- One student secured 22 marks more than the other.

Let's assume the marks secured by the first student as x.
Then, the marks secured by the second student would be x + 22.

It is given that the marks of the first student are 55% of the sum of their marks.
So, we can write the equation as:
x = 0.55(x + (x + 22))

Simplifying the equation:
x = 0.55(2x + 22)
x = 1.1x + 12.1
x - 1.1x = 12.1
-0.1x = 12.1
x = -12.1 / -0.1
x = 121

Therefore, the marks secured by the first student are 121.
And the marks secured by the second student are x + 22 = 121 + 22 = 143.

Hence, the correct answer is option 'A' which states that the marks obtained by the students are 121 and 143.
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Two students appeared for an examination. One of them secured 22 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are _______.a)121 and 99b)43 and 21c)58 and 36d)86 and 64e)None of theseCorrect answer is option 'A'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about Two students appeared for an examination. One of them secured 22 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are _______.a)121 and 99b)43 and 21c)58 and 36d)86 and 64e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two students appeared for an examination. One of them secured 22 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are _______.a)121 and 99b)43 and 21c)58 and 36d)86 and 64e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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