Question
Two students appeared in an exam and one secured 12
marks more than the other. If marks of student who got more marks is 52% of the sum of the marks of both of them, then find the marks obtained by them.Solution
Let total marks obtained by both of them is x and y respectively. x – y = 12 And, x = 0.52 × (x + y) x = 0.52 × (12 + y + y) x = 0.52 × (12 + 2y) x = 6.24 + 1.04y 12 + y = 6.24 + 1.04y 0.04y = 5.76 y = 144 x = 144 + 12 = 156
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