Question : The average weight of R, P, and K is 40 kg. If the average weight of P and K is 45 kg and the average weight of R and K is 35 kg, then what is the weight of K?
Option 1: 40 kg
Option 2: 70 kg
Option 3: 90 kg
Option 4: 120 kg
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Correct Answer: 40 kg
Solution : The average weight of P, K, and R = 40 kg ⇒ $\frac{\text{Total weight of P, K and R}}{3}=40$ ⇒ Total weight of P, K, and R = P + K + R = 40 $×$ 3 = 120 ........(i) Also, The average weight of P and K is 45 kg and K and R is 35 kg ⇒ P + K = 45 $×$ 2 = 90 ...........(ii) ⇒ K + R = 35 × 2 = 70 ..........(iii) Putting the value of P + K from (ii) into (i), we get ⇒ 90 + R = 120 ⇒ R = 120 – 90 = 30 kg Putting the value of R in equation (iii), we get, K + 30 = 70 ⇒ K = 40 kg Hence, the correct answer is 40 kg.
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