Question

Denominator of a rational number is 5 less than its numerator. If 2 is added to the numerator it becomes twice the denominator. Find the fraction​

Answer 1

Step-by-step explanation:

let the numerator be x

denominator= x-5

After adding 2 to numerator

numerator = x+2 = 2x

denominator = x-5

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Answer 2

Answer:

The required fraction is 12 / 7.

Step-by-step-explanation:

Let the numerator of fraction be x.

And the denominator of fraction be y.

From the first condition,

Denominator is 5 less than the numerator.

∴ x = y + 5 - - - ( 1 )

From the second condition,

If 2 is added to numerator, it becomes twice the denominator.

∴ ( x + 2 ) = 2y

⇒ y + 5 + 2 = 2y - - - [ From ( 1 ) ]

⇒ y + 7 = 2y

⇒ 7 = 2y - y

⇒ y = 7

∴ Denominator = 7

By substituting y = 7 in equation ( 1 ), we get,

x = y + 5 - - - ( 1 )

⇒ x = 7 + 5

⇒ x = 12

∴ Numerator = 12

Now,

The fraction = Numerator / Denominator

⇒ The fraction = x / y

⇒ The fraction = 12 / 7

∴ The required fraction is 12 / 7.