Average marks of a,b,c is 48. When d joins average becomes 47. E has 3 more…
2023
Average marks of a,b,c is 48. When d joins average becomes 47. E has 3 more marks than d. Average marks of b,c,d,e is 48. What is the marks of a?
- A.
46
- B.
43
- C.
49
- D.
52
Attempted by 38 students.
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Correct answer: B
Given: average of a, b, c = 48; when d joins average = 47; e has 3 more marks than d; average of b, c, d, e = 48.
From average of a, b, c = 48: a + b + c = 144
When d joins, average becomes 47 for four people: a + b + c + d = 188, so using a + b + c = 144 gives d = 44
E has 3 more marks than d: e = 47
Average of b, c, d, e = 48 gives b + c + d + e = 192. Substitute d = 44 and e = 47 to get b + c = 101
Finally, from a + b + c = 144 and b + c = 101 we have a = 43
Answer: 43