Question

The average weight of a and b is 55 kg b and c is 45 kg c and a is 50 kg what is the weight of a

Answer 1

answer of your question is 150

Answer 2

Answer:

The weight of a is 60 kg.

Step-by-step explanation:

Given,average weight of a and b is 55 kg,average weight of b and c is 45 kg and average weight of c and a is 50 kg.

We know,

average = $\frac{sum \: of \: total \: numbers}{total \: number}$

According to question,

$\frac{a + b}{2} = 55 \\ a + b = 55 \times 2 \\ a + b = 110....(1)$

and

$\frac{b + c}{2} = 45 \\ b + c = 2 \times 45 \\ b + c = 90.....(2)$

and

$\frac{c + a}{2} = 50 \\ c + a = 100.....(3)$

We are adding equation (1),(2) and (3) and get

$2(a + b + c) = 110 + 90 + 100 \\ 2(a + b + c) = 300 \\ a + b + c = \frac{300}{2} \\ a + b + c = 150....(4)$

We are subtracting equation (2) from equation (4),

$(a + b + c) - (b + c) = 150 - 90 \\ a + b + c - b - c = 60 \\ a = 60$

Required weight of a is 60 kg.

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