The average marks of 3 students A, B and C is 60. When another student D joins…
2024
The average marks of 3 students A, B and C is 60. When another student D joins the group, the new average becomes 56 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 becomes 55 marks. How many marks did A get in the exam?
- A.
51
- B.
39
- C.
50
- D.
45
Attempted by 669 students.
Show answer & explanation
Correct answer: A
Explanation:
Given that A + B + C = 60 × 3 = 180
A + B + C + D = 56 × 4 = 224
Therefore, D = 44
E = 44 + 3 = 47
Given, B + C + D + E = 55 × 4 = 220
B + C + 44 + 47 = 220
⇒ B + C = 220 - 91 = 129
So A + 129 = 180 ⇒ A = 51