Question

find the value of x and y
if
250/x+550/y=27
300/x+500/y=26

Answer 1

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#ur Ans

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=> 250/X +550/y = 27

take LCM

=>( 250y+ 55 0x)/ xy = 27

=> 250y +550x = 27xy................(1)

Now

=> 300/X +500/y = 26

take LCM

=>( 300y +500x)/xy = 26

=> 300y + 500x = 26xy............(2)

now solve equation (1) & (2)


250y +550x = 27xy
300y + 500x = 26xy
- - -
substract the equation
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- 50y +50x = xy ..................(3)

now solve equation (2) & (3)

300y +500x = 26xy
-50y +50x = xy

in equation (2) multiply by 2 & equation (3) multiply by 12 then

➡
600y +1000x = 52xy
-600y + 600x = 12xy

Add the equation, we get

=> 1600x = 64xy

=> y = 1600x/ 64x

=> y = 25

put the Value of y in any equation,
we put the value of y in equation (3)
we get,

-1250 +50x =25x

=> 25x - 50x = -1250

=> -25x = -1250

=> X = 1250/25

=> X= 50 Ans

X= 50 , Y = 25


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