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3. The numerator of a fraction is 6 less than the denominator. If 3 is added to thenumerator, the fraction becomes equal to Find the original fraction. |
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Answer» Suppose numerator is x-6sox-6/xnowx-6+3/x= 2/3x-3/x= 2/33x-9= 2xx= 9x-6= 3 Let denominator=xNumerator=x-6If 3 is added to numeratorFraction=x-6+3/x =x-3/x = 2/3 =(x-3)3/2x =3x-9/2x Or,3x-9=2x 3x-2x=9 X=9So fraction=numerator/denominator=x-6/x=9-6/9=3/9=1/3 |
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