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a fraction become 1/3,if 2 is added to both the numerator and denominator.if 3 is added to both numerator and denominator,it become 2/5.Find the fraction​

Answer» LET NUMERATOR= X
Let DENOMINATOR= y

ATQ    x+2/y+2=1/3
           3x+6=y+2
            y=3x+4..........(i)

x+3/y+3=2/5
5x+15=2y+6

Putting  (i)
5x+15=2(3x+4)+6
15=6x+8+6
1=6x
x=1/6

Putting x in (i)
y=3(1/6)+4
y=1/2+4
y=1+8/2
y=9/2

Fraction= x/y=1/6 / 9/2
1/6*2/9=1/27

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