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QThe average weight of P, Q, and R is 45 kg. The average weight of P and Q is 40 kg, and the average weight of Q and R is 43 kg. What is the weight of Q?

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  • A 30 ✔ ✖
  • B 31 ✔ ✖
  • C 33 ✔ ✖
  • D 35 ✔ ✖
Correct Answer

Explanation

The weight of Q is 31 kg.
To find this, we can use the following steps:
Let P, Q, and R represent their respective weights.
The sum of the weights of P, Q, and R is 135.
The sum of the weights of P and Q is 80.
The sum of the weights of Q and R is 86.
Adding these two equations gives us P + 2Q + R = 166.
Subtracting the equation for P, Q, and R from this equation gives us Q = 31.

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