Question
Download Solution PDFThe average weight of Gopal, Akshay and Atul is 46 kg . If the average weight of Gopal and Akshay be 40 kg and that of Akshay and Atul be 45 kg, then the weight of Akshay (in kg) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The average weight of Gopal, Akshay and Atul is 46 kg.
The average weight of Gopal and Akshay is 40 kg.
The average weight of Akshay and Atul is 45 kg.
Formula used:
Average weight formula:
Sum of weights = Average weight × Number of people
Calculations:
The average weight of Gopal, Akshay and Atul = 46 kg
The average weight of Gopal and Akshay = 40 kg
The average weight of Akshay and Atul = 45 kg
Formula used:
Average = Sum of all observations/Number of observation
Calculation:
Sum of the weight Gopal, Akshay and Atul
⇒ Gopal + Akshay + Atul = 46 × 3 = 138 kg ----(1)
⇒ Gopal + Akshay = 40 × 2 = 80 kg ----(2)
⇒ Akshay + Atul = 45 × 2 = 90 kg ----(3)
Subtract equation 1 from addition of equation 2 and 3
⇒ (Gopal + 2Akshay + Atul) - (Gopal + Akshay + Atul) = 80 + 90 - 138
⇒ Akshay = 32 kg
∴ The weight of Akshay is 32 kg.
Last updated on Jul 7, 2025
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