Question

The denominator of a rational number is 2 more than the numerator. If 3 is added to the denominator, the number obtained is 1/2. Find the rational number.
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Answer 1

Answer:

$Your \: answer \: is \: \frac{5}{7}$

(Explanation attached)

Answer 2

Answer:

5/7

Step-by-step explanation:

Let the numerator = x

Denominator = x + 2

$\dfrac{x}{(x+2)+3}=\dfrac{1}{2}\\\\\dfrac{x}{x + 5}=\dfrac{1}{2}$

Cross multiply,

2*x = 1(x +5)

2x = x+5

Subtract 'x' from both sides

2x - x = 5

x = 5

The numerator = x = 5

Denominator = x + 2 = 5+2 = 7

$Rational \ number = \dfrac{5}{7}$