Math, asked by rajksoniya, 11 months ago

The average mass of Jane,Peter and Mary is 35.6kg. And the average mass of Jane and Peter is 36kg. What is the mass of Mary?

Answers

Answered by madhutiwari793
2

Answer:34.8kg

Step-by-step explanation: go through the photo attached and please mark BRAINIEST

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Answered by Anonymous
5

Given :

  • The average mass of Jane,Peter and Mary is 35.6kg.
  • And the average mass of Jane and Peter is 36kg.

To Find :

  • Mass of Mary.

Solution :

Let x be the mass of Jane.

Let y be the mass of Peter.

Let z be the mass of Mary.

Case 1 :

Average mass of all three 35.6 kg.

Equation :

\longrightarrow \sf{\dfrac{x+y+z}{3}\:=35.6}

\longrightarrow \sf{x+y+z=106.8}

\sf{x+y=106.8-z} ____(1)

Case 2 :

Average mass of Jane and Peter is 36 kg.

Equation :

\longrightarrow \sf{\dfrac{x+y}{2}=36}

\longrightarrow \sf{x+y=72}

From equation (1), we can replace (x+y),

\longrightarrow \sf{106.8-z=72}

\longrightarrow \sf{106.7-72=z}

\longrightarrow \sf{34.8=z}

\large{\boxed{\sf{\red{Mass\:of\:Mary\:=\:z\:=\:34.8\:kg}}}}

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