Question

plz answer me guys ​

Answer 1

Given:

The fraction become 4/5 if 1 is add to both numerator and denominator.

The fraction become 1/2 if 5 is subtracted from both numerator and denominator.

To Find:

The fraction

Solution

Define the fraction:

Let x be the numerator.

Let y be the denominator.

$\text{Fraction} = \dfrac{x}{y}$

Form the first equation:

The fraction become 4/5 if 1 is add to both numerator and denominator.

$\dfrac{x + 1}{y + 1} = \dfrac{4}{5}$

$5(x + 1) = 4(y + 1)$

$5x + 5 = 4y + 4$

$5x = 4y - 1 \text{----------------- [ 1 ]}$

Form the second equation:

The fraction become 1/2 if 5 is subtracted from both numerator and denominator.

$\dfrac{x - 5}{y -5 } = \dfrac{1}{2}$

$2(x - 5) = y - 5$

$2x - 10 = y - 5$

$y = 2x - 5 \text{----------------- [ 2 ]}$

Substitute equation [ 2 ] into [ 1 ] :

$5x = 4(2x - 5) - 1$

$5x = 8x - 20 - 1$

$3x = 21$

$x = 7$

Substitute x = 7 into equation [ 2 ] "

$y = 2(7) - 5$

$y = 14 - 5$

$y = 9$

Find the fraction:

$\text{Fraction} = \dfrac{x}{y}$

$\text{Fraction} = \dfrac{7}{9}$

Answer: The fraction is 7/9

Answer 2

Answer:

the fraction is 7/9...........