The average weight of Gopal, Akshay and Atul is 45 kg. If the average weight of Gopal and Akshay be 43 kg and that of Akshay and Atul be 43 kg, then the weight of Akshay (in kg) is:

Correct option is A

Given:

The average weight of Gopal, Akshay, and Atul is 45 kg.

The average weight of Gopal and Akshay is 43 kg.

The average weight of Akshay and Atul is 43 kg.

We need to find the weight of Akshay.

Formula Used:

Average = $$\frac{\text{Sum of the numbers}}{\text{Number of items}}$$​​

Solution:

Let the weight of Gopal be G, Akshay be A, and Atul be T

the sum of the weights of Gopal, Akshay, and Atul:

G + A + T = 45 × 3 = 135 .....(1)

the sum of the weights of Gopal and Akshay:

G + A = 43 × 2 = 86 ........(2)

From the sum of the weights of Akshay and Atul:

A + T = 43 × 2 = 86 ............(3)

Now, subtract the second equation from the first:

(G + A + T) - (G + A) = 135 - 86

T = 49

Now, substitute T = 49 into the third equation:

A + 49 = 86

A = 86 - 49 = 37

Thus, the weight of Akshay is 37 kg.