Average weight of three boys P, T and R is 54 1/ 3 kg, while the average weight of three boys T, F and G is 53 kg. What is the average weight of P, T, R, F and G?

According to the question
(P + T + R) / 3 = 54¹/₃
⇒ P + T + R = (163/3) x 3
⇒ P + T + R = 163 ............(i)
Also (T + F + G)/3 = 53
⇒ T + G + F = 159 ..........(ii)
Clearly, from the two Eqs. (i) and (ii), the problem cannot be solved.