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The average marks of 3 students A,B and D is 48 marks. Another student D joins the group and the new average becomes 44 marks. If another student E, who has 3 marks more than D, joins the group, the average of the 4 students B,C,D and E bacomes 43 marks. Find how many marks A got in the exam.?
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The average marks of 3 students A,B and D is 48 marks. Another student...
Problem:
The average marks of 3 students A,B and D is 48 marks. Another student D joins the group and the new average becomes 44 marks. If another student E, who has 3 marks more than D, joins the group, the average of the 4 students B,C,D and E bacomes 43 marks. Find how many marks A got in the exam.?
Solution:
Let's solve the problem by following the below steps:
Step 1: Find the total marks of A, B and D
As per the given problem, the average marks of A, B, and D is 48. Let's assume the total marks of A, B, and D to be 'x'
Therefore, (x/3) = 48 => x = 144
So, the total marks of A, B, and D is 144.
Step 2: Find the marks of D
When D joins the group, the new average becomes 44. Therefore, the total marks of A, B, D, and D is:
(Total marks of A, B, and D) + (Marks of D) = 4 x 44
144 + (Marks of D) = 176
Marks of D = 32
Step 3: Find the marks of E
As per the given problem, E has 3 marks more than D. Therefore, the marks of E is:
Marks of E = Marks of D + 3 = 32 + 3 = 35
Step 4: Find the total marks of B, C, D, and E
As per the given problem, the average of B, C, D, and E is 43. Let's assume the total marks of B, C, D, and E to be 'y'.
Therefore, (y/4) = 43 => y = 172
So, the total marks of B, C, D, and E is 172.
Step 5: Find the marks of A
Now, we can find the marks of A by subtracting the total marks of B, C, D, and E from the total marks of A, B, and D.
Marks of A = (Total marks of A, B, and D) - (Total marks of B, C, D, and E)
Marks of A = 144 - 172 = -28
Step 6: Conclusion
As we can see, the marks of A is -28 which is not possible. Therefore, there must be some mistake in the problem statement or the data provided.
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The average marks of 3 students A,B and D is 48 marks. Another student...
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The average marks of 3 students A,B and D is 48 marks. Another student D joins the group and the new average becomes 44 marks. If another student E, who has 3 marks more than D, joins the group, the average of the 4 students B,C,D and E bacomes 43 marks. Find how many marks A got in the exam.?
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The average marks of 3 students A,B and D is 48 marks. Another student D joins the group and the new average becomes 44 marks. If another student E, who has 3 marks more than D, joins the group, the average of the 4 students B,C,D and E bacomes 43 marks. Find how many marks A got in the exam.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The average marks of 3 students A,B and D is 48 marks. Another student D joins the group and the new average becomes 44 marks. If another student E, who has 3 marks more than D, joins the group, the average of the 4 students B,C,D and E bacomes 43 marks. Find how many marks A got in the exam.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average marks of 3 students A,B and D is 48 marks. Another student D joins the group and the new average becomes 44 marks. If another student E, who has 3 marks more than D, joins the group, the average of the 4 students B,C,D and E bacomes 43 marks. Find how many marks A got in the exam.?.
The average marks of 3 students A,B and D is 48 marks. Another student D joins the group and the new average becomes 44 marks. If another student E, who has 3 marks more than D, joins the group, the average of the 4 students B,C,D and E bacomes 43 marks. Find how many marks A got in the exam.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The average marks of 3 students A,B and D is 48 marks. Another student D joins the group and the new average becomes 44 marks. If another student E, who has 3 marks more than D, joins the group, the average of the 4 students B,C,D and E bacomes 43 marks. Find how many marks A got in the exam.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average marks of 3 students A,B and D is 48 marks. Another student D joins the group and the new average becomes 44 marks. If another student E, who has 3 marks more than D, joins the group, the average of the 4 students B,C,D and E bacomes 43 marks. Find how many marks A got in the exam.?.
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