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The denominator of a fraction is 4 more than the numerator. If 5 is added to both, the fraction becomes 2/3. The original fraction is
A5/9
B3/7
C1/5
D7/11
Answer & Solution
Correct answer: B. 3/7
1. Let numerator = x; denominator = x + 4.
2. (x + 5)/(x + 9) = 2/3.
3. Cross-multiply: 3(x + 5) = 2(x + 9), 3 x + 15 = 2 x + 18, x = 3.
4. Fraction = 3/(3 + 4) = 3/7.
_Source: Selina Concise Mathematics Class 8, Ch 18 Linear Equations in One Variable (Mistral OCR'd PDF), section on word problems_
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