If we add 1 to the double of the numerator of a fraction, we get the denominator. If we add 4 to both the numerator and the denominator, the fraction becomes 3/5. Find the fraction.

5/11

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13/11

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1/3

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3/13

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Solution

The correct option is A
5/11

Numerator = y

Denominator = 2y + 1

$F r a c t i o n = \frac{N}{D} = \frac{y}{2 y + 1}$

As per the question,

$\frac{y + 4}{2 y + 1 + 4} = \frac{3}{5}$

$\Rightarrow$ 5y+20 = 6y+15

$\Rightarrow$ -y = -5

$\Rightarrow$ y = 5

$F r a c t i o n = \frac{y}{2 y + 1} = \frac{5}{11}$

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If we add 1 to the double of the numerator of a fraction, we get the denominator. If we add 4 to both the numerator and the denominator, the fraction becomes 3/5. Find the fraction.

The correct option is A 5/11 Numerator = y Denominator = 2y + 1 Fraction=ND=y2y+1 As per the question, y+42y+1+4=35 ⇒ 5y+20 = 6y+15 ⇒ -y = -5 ⇒ y = 5 Fraction= y2y+1=511