The numerator and denominator of a fraction are in the ratio of 2 3 if 6 is subtracted from the nume...........

Quantitative Aptitude ( CCS) Ratio, Proportion

The numerator and denominator of a fraction are in the ratio of 2:3. if 6 is subtracted from the numerator, the result is a fraction that has a value 2/3 of the original fraction. The numerator of the original fraction is

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Explanation:

Let numerator be 2x
denominator = 3x
Original fraction=2x/3x
now 6 is subtracted from numerator so ratio 2x-6/3x
which is equal to 2/3 of original fraction.so
2x-6/3x = 2/3 {2x/3x}
(2x-6)*3 = 2(2x)
6x-18=4x
2x=18
x=9
Original fraction= 2x/3x =18/27