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The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction

🗓 Nov 26, 2024

Answer is "3/11"

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Julian 🌐 Karnataka
Let the values,

Numerator = ( X - 8 )
Denominator = X

Fraction = Numerator/Denominator = ( X -8)/X.
When 3 is added to the numerator and 3 is subtracted from the denominator the fraction obtained is 3/4

X - 8 + 3 / X - 3 =3 /4
X-5/X-3 = 3/4
4X-20 = 3X-9
X = 11
So,(X-8)/X = (11-8)/11

Answer is 3/11
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