if three is subtracted from the numerator and five is added to the denominator of a fraction , the new fraction is 1/2 . if two is added to the numerator of the initial fraction the ratio of the new numerator to the denominator becomes 1 : 1 . find original fraction
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Answer:
Let the numerator and denominator of the fraction be 2x and 3x
Therefore, the original fraction is
3x
2x
Given,
3x
2x−6
=
3
2
×
3x
2x
⇒
3x
2x−6
=
9
4
⇒18x−54=12x
⇒6x=54
⇒x=9
The numerator of the fraction is 2×9=18
Step-by-step explanation:
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