Question

The numerator of a fraction is 1 more than the denominator. if 5 is subtracted from both the numerator and the denominator, the fraction becomes 2. Find the number. ​

Answer 1

Answer:

$\sf{The \: number \: is \: \: \dfrac{7}{6}}$

Step-by-step explanation:

Let,

The denominator of a fraction = x

The numerator of a fraction = x + 1

★ If 5 is subtracted from both the numerator and the denominator

The denominator of a fraction = x - 5

The numerator of a fraction = x + 1 - 5

⇒ x + 1 - 5

⇒ x - 4

The numerator of a fraction = x - 4

⇒ $\sf{\dfrac{x \: - \: 4}{x \: - \: 5} \: = \: \dfrac{2}{1}}$

⇒ 1 (x - 4) = 2 (x - 5)

⇒ x - 4 = 2x - 10

⇒ x - 2x = - 10 + 4

⇒ - 1x = - 6

⇒ x = 6

The denominator of a fraction = 6

The numerator of a fraction = x + 1

⇒ x + 1

⇒ 6 + 1

⇒ 7

The numerator of a fraction = 7

Therefore,

$\sf{The \: number \: is \: \: \dfrac{7}{6}}$

Answer 2

Answer:

The number is 7/6 .

pls mark it as brainliest.