In this Question if given number added to the numerator of a fraction, it reduces to (1/2) and if the given number is substracted from the denominator, it reduces to (1/3)
You have to find the fraction.
This is the Important question based on Linear Equations in two Variables Chapter of R.S Aggarwal book for ICSE & CBSE Board.
This is the Question Number 20 Of Exercise 3E of RS Aggarwal Solution
Deepak BoraNewbie
If 2 added to the numerator of a fraction, it reduces to (1/2) and if 1 is subtracted from the denominator, it reduces to (1/3). Find the fraction.
Share
Let the fraction be x/y
Given that
x+2/y =1/2 —–> equ i
x/y-1 =1/3 —–> equ ii
From i and ii
2(x+2) =1(y) ——-> equ i
3(x) =1(y-1) ——-> equ ii
=> 2x+4=y
3x=y-1
Subtract i and ii. we get
2x – y = -4
3x – y = -1
(-) (+) = (+)
______________
-x = -3
_____________
=> x=3
subtitute x=3 in equ i. we get
2(3+2)=y
=> 2(5) =y
=> y=10
Therefore the value of x and y are 3 and 10 respectively.