Question
Download Solution PDFStudent A got 25 marks more than the student B and the marks of A were equal to the 60 percent of the sum of their marks. What are the marks obtained by A and B respectively?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Student A got 25 marks more than Student B.
Marks of A = 60% of the sum of A and B's marks.
Concept: We'll use the given conditions to set up equations and solve them.
Solution:
Let marks of B = x. Then, marks of A = x + 25.
From the second condition, x + 25 = 0.6 × (x + x + 25) ⇒ x + 25 = 0.6 × (2x + 25)
Solving the equation, we get x = 50. Therefore, marks of B = 50.
Marks of A = 50 + 25 = 75.
Therefore, the marks obtained by A and B are 75 and 50 respectively.
Last updated on May 28, 2025
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