Question

Plz solve fast it is necessary for me

Answer 1

Let numerator = x

and

denomenator = y

hope it may help you.

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Answer 2

Question:

If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 1 / 2 if we only add 1 to the denominator. What I the fraction?

Answer:

The required fraction is 3 / 5.

Step-by-step-explanation:

Let the numerator of fraction be x.

And denominator of fraction be y.

∴ The fraction = x / y

From the first condition,

If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1.

∴ ( x + 1 ) / ( y - 1 ) = 1

⇒ x + 1 = y - 1

⇒ x - y = - 1 - 1

⇒ x - y = - 2 - - - ( 1 )

From the second condition,

If 1 is added to denominator, the fraction becomes 1 / 2.

∴ x / ( y + 1 ) = 1 / 2

⇒ 2x = y + 1

⇒ 2x - y = 1 - - - ( 2 )

Subtracting equation ( 2 ) from equation ( 1 ),

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

⇒ x - y - 2x + y = - 3

⇒ x - 2x + y - y = - 3

⇒ - x = - 3

⇒ x = - 3

∴ Numerator = - 3

By substituting x = - 3 in equation ( 1 ),

x - y = 2 - - - ( 1 )

⇒ - 3 - y = 2

⇒ - 3 - 2 = y

⇒ y = - 5

∴ Denominator = - 5

Now,

The fraction = Numerator / Denominator

⇒ The fraction = - 3 / - 5

∴ The required fraction is 3 / 5.