Question
Two students appeared in an exam and one secured 30
marks more than the other. If marks of the student who got more marks is 65% of the sum of the marks of both of them, then find the marks obtained by them.Solution
ATQ, Let total marks obtained by both of them be x and y respectively. x − y = 30 And, x = 0.65×(x+y) x = 0.65×(30+y+y) x = 0.65×(30+2y) x = 19.5+1.30y 30+y = 19.5+1.30y 0.30y = 10.5 y = 35 x = 35+30 = 65
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