Correct Answer - Option 1 : 67
Given:
Average of A, B and C = 65 kg
Average of A and B = 63.5 kg
Average of A and C = 67.5 kg
Formula used:
Sum of all observations = Average × Total number of observations
Calculation:
A + B + C = 65 × 3 = 195 kg ---- (1)
A + B = 63.5 × 2 = 127 kg ---- (2)
Subtracting (2) from (1), we'll get
A + B + C – (A + B) = 195 – 127
⇒ C = 68 kg
Also, A + C = 67.5 × 2 = 135
⇒ A + 68 = 135
⇒ A = 135 – 68
⇒ 67 kg
∴ Weight of A is 67 kg