ues 16 / 20:ReportMarks: +1-0The average weight of three boys P, Q and R is 54 kg,while the average weight of three boys Q, S and T is 60 kg.What is the average weight of P, Q, R, S and T?66.4 kg63.2 kg58.8 kgData inadequate
Question
ues 16 / 20:ReportMarks: +1-0The average weight of three boys P, Q and R is 54 kg,while the average weight of three boys Q, S and T is 60 kg.What is the average weight of P, Q, R, S and T?66.4 kg63.2 kg58.8 kgData inadequate
Solution
To solve this problem, we first need to understand that the average weight is calculated by dividing the total weight by the number of individuals.
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The average weight of P, Q, and R is 54 kg. This means that the total weight of P, Q, and R is 54 kg * 3 = 162 kg.
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The average weight of Q, S, and T is 60 kg. This means that the total weight of Q, S, and T is 60 kg * 3 = 180 kg.
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If we add these two totals together, we would be counting Q's weight twice. So, we need to subtract Q's weight from our total. We don't know Q's weight individually, but we can find it out as Q is included in both groups.
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To find the weight of Q, we can subtract the total weight of P, Q, and R from the total weight of Q, S, and T. So, Q's weight is 180 kg - 162 kg = 18 kg.
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Now, we can find the total weight of P, Q, R, S, and T by adding the total weight of P, Q, and R and the total weight of S and T (we found Q's weight already). So, the total weight is 162 kg + (180 kg - 18 kg) = 324 kg.
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Finally, we can find the average weight of P, Q, R, S, and T by dividing the total weight by the number of individuals. So, the average weight is 324 kg / 5 = 64.8 kg.
So, the answer is not in the options given. There might be a mistake in the question or the options provided.
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