When we add 1 to the numerator of a fraction and simplify it we get 2/3.when add 1 to the denominator and simplify it we get 1/2.which is the fraction?
Answers
let the fraction = x/ y
given ,
====> (x + 1) y = 2 / 3
====> 3x + 3 = 2y
====> 3x - 2y = -3 -------------(1)
====> x / (1+ y ) = 1/2
====> 2x = 1 + y
====> 2 x - y = 1 --------------(2)
3x - 2y = -3 -------------(1)
2x - y = 1 --------------(2)
----–--------------------------------------------
making y variable equal
(2)×2 => 4x - 2y = 2 ---------------(3)
3x - 2y = -3 -------------(1)
4x - 2y = 2 --------------(3)
----–--------------------------------------------
(1) + (3) => 7x = 1
x = 1 / 7
substituting the value of x in (2)
===> 2 ( 1/7) - y = 1
===> 2/ 7 - 1 = y
y = -5 / 7