Question 81

The average weight of P, Q and R is 71 kg. If the average weight of P and Q be 66 kg and that of Q and R be 76.5 kg, then the weight (in kg) of Q is.

Solution

Total Weight of P,Q & R= $$(P+Q+R)\div3=71$$

Therefore,P+Q+R= 213      ......(i)

Total weight of P & Q= $$(P+Q)\div2=66$$

Therefore, P+Q= 132        .......(ii)

Total weight of Q & R= $$(Q+R)\div2=76.5$$

Therefore,Q+R= 153         .......(iii)

Solving equation (i) & (ii), we get, R= 81

Solving equation (i) & (iii), we get, P= 60

Putting the value of P & R in equation (i),

We get, Q= 72.

Therefore, Option B is the correct answer.


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