Question

The sum of numenator and denominator of
the fraction is three less than twice the denominator. If each denominator and numerator is decreased by 1, the fraction
becomes 1/2
Find the fraction.
​

Answer 1

Answer:  4/7

Step-by-step explanation:

let the numerator and denominator be x and y respectively.

then, ATQ,

x + y = 2y - 3

=> x - y = -3 -------(i)

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

=> 2(x - 1) = (y - 1)      [on cross multiplying]

=> 2x - 2 = y - 1

=> 2x - y = 1 ----------(ii)

on subtracting (i) from (ii), y gets eliminated.

2x - y = 1

(-)x - (+)y = (+) -3

=> x = 4

thus, 4 - y = -3  [from (i)]

or, y = 4+3 = 7

hence, fraction = x/y = 4/7