The average weight of Shubha, Govinda and Reshma is 65kg. If the average weight of Shubha and Govinda be 63kg and that of Govinda and Reshma be 70kg, then the weight of Govinda is:
- A41
- B71
- C88
- D46
Solution & Step-by-step Explanation
Let the weights of Shubha, Govinda, and Reshma be represented by S, G, and R respectively.
From the problem, we can establish the following sum of weights equations:
Average weight of S,G,R is 65kg:
S+G+R=65×3=195— (Equation 1)
Average weight of S and G is 63kg:
S+G=63×2=126— (Equation 2)
Average weight of G and R is 70kg:
G+R=70×2=140— (Equation 3)
To find the weight of Govinda (G), we can add Equation 2 and Equation 3:
(S+G)+(G+R)=126+140
S+2G+R=266
Now, subtract Equation 1 from this result:
(S+2G+R)−(S+G+R)=266−195
G=71kg
Thus, the weight of Govinda is 71kg.
From the problem, we can establish the following sum of weights equations:
Average weight of S,G,R is 65kg:
S+G+R=65×3=195— (Equation 1)
Average weight of S and G is 63kg:
S+G=63×2=126— (Equation 2)
Average weight of G and R is 70kg:
G+R=70×2=140— (Equation 3)
To find the weight of Govinda (G), we can add Equation 2 and Equation 3:
(S+G)+(G+R)=126+140
S+2G+R=266
Now, subtract Equation 1 from this result:
(S+2G+R)−(S+G+R)=266−195
G=71kg
Thus, the weight of Govinda is 71kg.