The average weight of three boys A, B and C is $54 \Large\frac{1}{3}$ kg, while the average weight of B, D and E is 53 kg. What is the average weight of A, B, C, D and E?

A. 52.4 kg B. 53.2 kg C. 53.8 kg D. Data inadequate Answer: Option D
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Solution(By Apex Team)

$\begin{array}{l}\text{Total weight of (A + B + C)}\\ =54\frac{1}{3}\text{ × 3 kg}\\ \text{= 163 kg}\\ \text{Total weight of (B + D + E)}\\ \text{= (53 × 3) kg}\\ \text{= 159 kg}\\ \text{Adding both, we get:}\\ \text{= A + 2B + C + D + E}\\ \text{= (163 + 159) kg}\\ \text{= 322 kg}\end{array}$ So, to find average weight of A, B, C, D and E, we ought to know B’s weight, which is not given. So, the data is inadequate.

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