SSC GD Constable 4 Feb 2025 Shift 1 Paper

Section: Elementary Mathematics

Question : 44 of 80

Marks: +1, -0

The 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:

Validate

Solution:

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

\;⇒ \;\text " Gopal "\;+ \;\text " Akshay "\;+ \;\text " Atul "\;=46 × 3=138 kg

\;⇒ \;\text " Gopal "\;+ \;\text " Akshay "\;=40 × 2=80 kg

\;⇒ \;\text " Akshay "\;+ \;\text " Atul "\;=45 × 2=90 kg

Subtract equation 1 from addition of equation 2 and 3

⇒(\;\text " Gopal "\;+2 \;\text " Akshay "\;+ \;\text " Atul "\;)-(\;\text " Gopal "\;+ \;\text " Akshay "\;+ \;\text " Atul "\;)=80+90-138

⇒ Akshay = 32 kg

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