Question

170+(x-y)=130+(y-x)

What is the value of x and y

Answer 1

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Answer 2

Answer:

x = y - 20  

y = x + 20

Step-by-step explanation:

Given :

170 + ( x - y ) = 130 + ( y - x )

We need to find value of x and y ,

170 + x - y = 130 + y - x

170 - 130 = y - x - x + y

40 = 2y - 2x

Dividing both sides by 2 ,

$\frac{40}{2}$ = $\frac{2y}{2} - \frac{2x}{2}$

20 = y - x

x - y + 20 = 0      [ Let this be Eqn 1 ]

x = y - 20

Also,

From this equation we can derive,

y = x + 20

Now,

Substituting the values of x and y in the equation in order to verify the equation 1 :

( y - 20 ) - ( x + 20 ) + 20 = 0

y - 20 - y + 20 = 0

0 = 0

Hence,

x = y - 20  

y = x + 20