Question

The Average Weight Of X,Y and Z is 45 KG.If The Average Weight of X and Y be 40 KG and that of Y and Z be 43 KG,the the weight of Y is :

Answer 1

Answer:

Step-by-step explanation:(X+Y+Z)/3=45. =X+Y+Z=135

X+Y=80

Y+Z=86.

Solving all the equation we get-

80-Y+86-Y+Y=135

-Y=-31

Y=31.

Putting Y in equation 2we get

X=49

Similarly Z=55

Answer 2

The weight of Y is equal to 31 kg.

Given:

The average weight of X, Y and Z is equal to 45 kg

The average weight of X and Y is 40 kg

The average weight of Y and Z is 43 kg

To Find:

The weight of Y.

Solution:

→ As the average weight of X, Y and Z is equal to 45:

  $\therefore \frac{(X+Y+Z)}{3} =45\\\\\therefore X+Y+Z=135-Eq.(i)$

→ As the average weight of X and Y is equal to 40:

   $\therefore \frac{(X+Y)}{2} =40\\\\\therefore X+Y=80\\\\\therefore X=(80-Y)- Eq.(ii)$

→ As the average weight of Y and Z is equal to 43:

  $\therefore \frac{(Y+Z)}{2} =43\\\\\therefore Y+Z=86\\\\\therefore Z=(86-Y)-Eq.(iii)$

→ Putting the values of 'X' and 'Z' from equations (ii) and (iii) in to equation (i):

   $\because X+Y+Z=135\\\\\therefore (80-Y)+Y+(86-Y)=135\\\\\therefore 166-Y=135\\\\{\therefore Y=31\:kg}$

Therefore the weight of Y is equal to 31 kg.

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