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Out of the five subjects, the average marks of Suman in first 3 Subjects was 81 and the average marks in the last 3 subjects was 74. If her…

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Out of the five subjects, the average marks of Suman in first 3 Subjects was 81 and the average marks in the last 3 subjects was 74. If her marks in the third subject was 65, then what was her average marks in all the subjects?
  • A75
  • B76
  • C79
  • D80
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CCommunity
Let the five subjects are a, b, c, d and e

Marks in third subject c = 65 given

Average marks in first three subjects = 81

⇒ (a + b + c)/3 = 81

⇒ a + b + c = 243

Average marks in last three subjects = 74

⇒ (c + d + e)/3 = 74

⇒ c + d + e = 222

⇒ 65 + d + e = 222

⇒ d + e = 222 – 65 = 157

Average marks of suman in all sub. = (a + b + c + d + e)/5 = (243 + 157)/5

∴ Average marks = 400/5 = 80
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CCommunity
Let the five subjects are a, b, c, d and e

Marks in third subject c = 65 given

Average marks in first three subjects = 81

⇒ (a + b + c)/3 = 81

⇒ a + b + c = 243

Average marks in last three subjects = 74

⇒ (c + d + e)/3 = 74

⇒ c + d + e = 222

⇒ 65 + d + e = 222

⇒ d + e = 222 – 65 = 157

Average marks of suman in all sub. = (a + b + c + d + e)/5 = (243 + 157)/5

∴ Average marks = 400/5 = 80
0
CCommunity
Let the five subjects are a, b, c, d and e

Marks in third subject c = 65 given

Average marks in first three subjects = 81

⇒ (a + b + c)/3 = 81

⇒ a + b + c = 243

Average marks in last three subjects = 74

⇒ (c + d + e)/3 = 74

⇒ c + d + e = 222

⇒ 65 + d + e = 222

⇒ d + e = 222 – 65 = 157

Average marks of suman in all sub. = (a + b + c + d + e)/5 = (243 + 157)/5

∴ Average marks = 400/5 = 80