Question

the denominator of a fraction is 4 more than its numerator if 1 is subtracted from both the fraction becomes 1 upon 2 find the original number​

Answer 1

Answer:

Hey buddy here's your answer........

let the numerator be x

A.T.Q,

x -1 = 1

x+4 -1 2

x-1 = 1

x + 3 2

(by cross multiplication)

2 (x -1) = x+3

2x -2 = x+3

x = 5

Hope it helps mark as brainliest and follow me ✌✌

Answer 2

Answer:

The Original Number is $\tt{\dfrac{5}{9}}$

Step-by-step explanation:

Given :

Denominator of the fraction = 4 more than its numerator

When 1 is subtracted from both numerator and denominator new rational number is = $\tt{\dfrac{1}{2}}$

To find :

The Original Number

Solution :

Let the -

• Numerator be y
• Denominator be (y + 4)

★ $\boxed{\tt{\frac{y - 1}{(y + 4) - 1} = \frac{1}{2}}}$

$\sf{\implies} \: \dfrac{y - 1}{(y + 4) - 1} = \dfrac{1}{2}$

$\sf{\implies} \: \dfrac{y - 1}{y + 3} = \dfrac{1}{2}$

$\sf{\implies} \: 2(y - 1) = 1(y + 3)$

$\sf{\implies} \: 2y - 2 = y + 3$

$\sf{\implies} \: 2y - y = 3 + 2$

$\sf{\implies} \: y =5$

Numberator = 5

$\rule{300}{1.5}$

★ Value of (y + 4)

$\sf{\implies} \: 5 + 4$

$\sf{\implies} \: 9$

Denominator = 9

Original Rational Number = $\tt{\dfrac{5}{9}}$

$\therefore$ The Original Number is $\tt{\dfrac{5}{9}}$