Student 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 & explanation
Correct answer: option 2
Let the marks secured by B = 100x
Marks secured by A = 100x + 25
Sum of their marks = 100x + 100x + 25 = 200x + 25
According to question ,
100x + 25 = 60% of sum of marks
\(\frac{3}{5}\) × (200x + 25) = 100x + 25
600x + 75 = 500x + 125
100x = 50 marks
Marks secured by A = 50 + 25 = 75 marks
Marks secured by B = 50 Marks