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The total number of students in class A and B is 72. The number of students in A is 40% more than that in B. The average marks
of students in B are 50% more than that of students in A. If the average marks of all the students in A and B are 58, then what
are the average marks of students in A?
58
72
50
48
- The total number of students in Class A and B is 72.
- The students in A are 40% more than those in B. So, if B has X students, A has 1.4X students.
- X+1.4X=72 implies 2.4X=72. Solving this gives X=30 students in B and 42 in A.
- Average marks of B are 50% more than A. Let A's average be Y, so B's average is 1.5Y.
- Combined average marks are given as 58: (42Y+45Y)/72=58.
- Solving gives: 87Y=4176; thus Y=48.
Option 4 - 48 is correct.
.
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