Question

solve this equation (i)​

Answer 1

Answer:

1 / 1

Step-by-step explanation:

Let the original fraction be x/y

Case 1: Adding 1 to the numerator and Subtracting 1 from the denominator:-

⇒ ( x + 1 ) / ( y + 1 ) = 1 / 1

Cross multiplying we get,

⇒ 1 ( x + 1 ) = 1 ( y + 1 )

⇒ x = y   ... ( Eqn 1 )

Case 2: Adding 1 only to the denominator:-

⇒ ( x ) / ( y + 1 ) = 1 / 2

Cross multiplying we get,

⇒ 2 ( x ) = 1 ( y + 1 )

⇒ 2x = y + 1

Substituting the values of x from Eqn ( 1 ) we get,

⇒ 2y = y + 1

⇒ 2y - y = 1

⇒ y = 1

From Eqn ( 1 ) we can say that, x is also equal to 1.

Hence the fraction is x / y = 1 / 1

Answer 2

Let the fraction be x/y

Now acc to que.-

x+1/y-1=1

Or, x+1=1(y-1)

Or x=y-1-1

Therefore x=y-2-----(1)

And x/y+1=1/2-------(2)

Now putting x=y-2 in eq (2) we get,

Y-2/y+1=1/2

Or 2(y-2)=1(y+1) {by cross Multiplying}

Or 2y-4=y+1

Or 2y-y=1+4

Therfore y=5

Now putting y=5 in eq(1) we get,

x=5-2

Therefore x=3

Therfore the required fraction is x/y=3/5

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