the denominator of afraction is 4 more than the twice its numerator denominator becoms 12 times the numerator if both the numerator and denominator reduced by 6 find the fraction
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the denominator of afraction is 4 more than the twice its numerator denominator becoms 12 times the numerator if both the numerator and denominator reduced by 6 find the fraction
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Let the Numerator of the fraction be X.
Then the denominator of the fraction 2X+4.
Therefore,
Fraction = Numerator/Denominator = X/2X+4
Numerator and Denominator is reduced by 6 . Then numerator and denominator become (X-6) and (2X+4-6) = (2X-2)
According to question,
2X -2 = 12(X-6)
2X -2 = 12X -72
12X -2X = 72-2
10X = 70
X = 70/10
X = 7
Numerator = X = 7
And,
Denominator = (2X+4) = 2 × 7 +4 = 18
Therefore,
Fraction = Numerator/Denominator = X/2X+4 = 7/18
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