The average weight of Sopan, Guruprasad and Rima is 65kg. If the average weight of Sopan and Guruprasad be 67kg and that of Guruprasad be 67kg and that of Guruprasad and Rima be 57kg, then weight of guruprasad is

The average weight of Sopan, Guruprasad and Rima is 65kg. If the average weight of Sopan and Guruprasad be 67kg and that of Guruprasad be 67kg and that of Guruprasad and Rima be 57kg, then weight of guruprasad is

Options:

(a)    6okg  (b) 53kg (c) 58kg (d)63kg

Solutions:

Average of weight of all = 65

Or, Sopan + Guru + Rima / 3 = 65

Or, s + g + r = 65*3 = 195   ---------------- 1

ATQ,

S + g /2 = 67

S + g = 67 *2 = 134   ---------- 2

And

g + r / 2 = 57

Or, g + r = 57 * 2  = 114 ------------- 3

Subtracting equation 2 from 1

s + g + r – s – g  = 195 – 134

r = 61

Subtracting equation 3 from 1

S + g + r – g – r = 195 – 114 = 81

S = 81

Putting value of s and r in equation 1 , we get

81 + g + 61 = 195

g = 195 – 81 – 61 = 53

Weight of guruprasad =  g  =  53 kg answer

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