The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 88...

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The average weight of a group of persons increased from kg to kg, when two persons weighing kg and kg join the group. Find the initial number of members in the group?

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Calculated Answer

26.333333333333

Step by Step Solution

In order to solve problem, you must evaluate (n₂ + n₃ - n₁ * 2) / (n₁ - n₀).

• (n₂ + n₃ - n₁ * 2) / (n₁ - n₀)

• Evaluate n₂ + n₃ = 181

  (181 - n₁ * 2) / (n₁ - n₀)

• Evaluate n₁ * 2 = 102

  (181 - 102) / (n₁ - n₀)

• Evaluate 181 - 102 = 79

  79 / (n₁ - n₀)

• Evaluate n₁ - n₀ = 3

  79 / 3

• Evaluate 79 / 3 = 26.333333333333

  26.333333333333
• The answer to the problem and the result of (n₂ + n₃ - n₁ * 2) / (n₁ - n₀) is 26.333333333333