Question

The average wight of Gopal, Akshay and Athul is 46kg. If the average weight of Gopal and Akshay be 40 kg and that of Akshay and Athul be 45 kg. Then the weight of Akshay (in kg) is :

• A. 47
• B. 42
• C. 32
• D. 52

Answer 1

Answer:

C. 32

Let the weights of Gopal, Akshay, Athul be (G, A, T) respectively.

Average of Gopal, Akshay, Athul = 46 kg

$\frac{G + A + T}{3} = 46 \Rightarrow G + A + T = 138 \quad (1)$

Average of Gopal and Akshay = 40 kg
$\frac{G + A}{2} = 40 \Rightarrow G + A = 80 \quad (2)$

Average of Akshay and Athul = 45 kg
$\frac{A + T}{2} = 45 \Rightarrow A + T = 90 \quad (3)$

Add equations (2) and (3)

$(G + A) + (A + T) = 80 + 90$
$G + 2A + T = 170$

Subtract equation (1)

$(G + 2A + T) - (G + A + T) = 170 - 138$
A = 32

Weight of Akshay = 32 kg