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:

y=x+4-------(1)

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

substituting y=x+4 in equation 2-----(from 1)

x-1/x+4-1=1/2

x-1/x+3=1/2

2x-2=x+3-----(cross multiplication)

x=5

y=5+4------(from 1)

y=9

The required fraction is 5/9.

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Answer 2

★$\huge\red\square\green\star\blue{Answer}\green\star\red\square$★

Let the numerator be x.

Then denominator is x+4.

$= > \frac{x - 1}{x + 4 - 1} = \frac{1}{2}$

$= > \frac{x - 1}{x + 3} = \frac{1}{2}$

$= > 2(x - 1) = x + 3 \\ = > 2x - 2 = x + 3 \\ = > 2x - x = 3 + 2 \\ = > x = 5$

$original \: number = \frac{x}{x + 4} = \frac{5}{5 + 4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{5}{9}$

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