Question 28

The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg andthat of B and C be 43 kg, then the weight of B is:

Solution

 average weight of A, B and C is 45 kg

$$\frac{A+B+C}{3}$$ = 45

A+B+C = $$45 \times 3$$ = 135

the average weight of A and B is 40 kg

$$\frac{A+B}{2}$$ = 40

A+B = $$40 \times 2$$ = 80

the average weight of  B and C is 43 kg

$$\frac{B+C}{2}$$ = 43

B+C = $$43 \times 2$$ = 86

adding A+B + B+C = 80 + 86 = 166 

subtracting A+B+C from this we get 

166-135 = 31

B = 31kg


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