Question

A fraction becomes ¾ if 1 is subtracted from both its numerator and denominator.If 3is added to both the numerator and denominator,it becomes ⅚ find the fraction.​

Answer 1

Step-by-step explanation:

let fraction=x/y

$\frac{x - 1}{y - 1} = \frac{3}{4 }$

$= > 4x - 4 = 3y - 3$

$= > 4x - 3y = 1$

$3y = 4x - 1$

and$\frac{x + 3}{y + 3} = \frac{5}{6}$

$6x - 18 = 5y - 15$

$6x - 5y = 3$

$2x - 10y = 1$

first the value of x↓↓

$4x - 1 - 2x = 1$

$2x - 1 = 1$

$2x = 1 + 1$

$x = \frac{2}{2}$

$x = 1$

value of x= 1

value of y↓↓

$3y = 4x - 1$

$y = \frac{3}{3}$

$y = 1$

$fraction = \frac{1}{1} or1$