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Heya!!!
Let the fraction be x / y
According to the question.
x = y - 6 .... equation 1
When 3 is added to the numetor
x + 3 / y = 2 / 3
3( x + 3 )= 2y
3x + 9 = 2y
3x -2y = -9 ..... equation 2
Put value of x in equation 2
3 ( y - 6 ) - 2y = 9
y = 27
and
x = 21
Therefore original fraction is 21 / 27
Let the fraction be x / y
According to the question.
x = y - 6 .... equation 1
When 3 is added to the numetor
x + 3 / y = 2 / 3
3( x + 3 )= 2y
3x + 9 = 2y
3x -2y = -9 ..... equation 2
Put value of x in equation 2
3 ( y - 6 ) - 2y = 9
y = 27
and
x = 21
Therefore original fraction is 21 / 27
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