The of the numerator and denominator of a fraction is 12- If the denominator is increased by 3- the fraction becomes dfrac -1-2- Find the fraction-dfrac -3- -7-dfrac -5- -7-dfrac -2- -7-dfrac -4- -7-

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Toppr Admin · Accepted Answer

Let the fraction -xyFirst condition -x21D2-x-y-12Second condition -x21D2-xy-3-12-x21D2-2x-x2212-y-3Add two equations -x21D2-x-5-x21D2-y-7-x21D2-fraction -57

The sum of the numerator and denominator of a fraction is $12$ . If the denominator is increased by $3$ , the fraction becomes $\frac{1}{2}$ . Find the fraction.
$\frac{3}{7}$
$\frac{5}{7}$
$\frac{2}{7}$
$\frac{4}{7}$

Let the fraction = $\frac{x}{y}$

First condition :

$\Rightarrow x + y = 12$

Second condition :

$\Rightarrow \frac{x}{y + 3} = \frac{1}{2}$

$\Rightarrow 2 x - y = 3$

Add two equations ;

$\Rightarrow x = 5$

$\Rightarrow y = 7$

$\Rightarrow$ fraction = $\frac{5}{7}$

The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 12. Find the fraction.37572747

Let the fraction =xyFirst condition :⇒x+y=12Second condition :⇒xy+3=12⇒2x−y=3Add two equations ;⇒x=5⇒y=7⇒fraction =57

The sum of the numerator and denominator of a fraction is $12$ . If the denominator is increased by $3$ , the fraction becomes $\frac{1}{2}$ . Find the fraction.
$\frac{3}{7}$
$\frac{5}{7}$
$\frac{2}{7}$
$\frac{4}{7}$

Let the fraction = $\frac{x}{y}$

First condition :

$\Rightarrow x + y = 12$

Second condition :

$\Rightarrow \frac{x}{y + 3} = \frac{1}{2}$

$\Rightarrow 2 x - y = 3$

Add two equations ;

$\Rightarrow x = 5$

$\Rightarrow y = 7$

$\Rightarrow$ fraction = $\frac{5}{7}$