Math, asked by Fahadullah, 1 year ago

The denominator of a rational number is greater than its numerator by 7 . If the numerator is increased by 17 and the denominator is decreased by 6 , the new number becomes 2.Find the original number.

Answers

Answered by mysticd
21

Answer:

\orange { Original \: number}\\ \green{= \frac{15}{22}}

Step-by-step explanation:

 Let \: the \: numerator = x \\denominator = x+7,

\orange { Original \: number = \frac{x}{x+7}}

/* If the numerator is increased by 17 and the denominator is decreased by 6 */

 \blue { new \: number }= 2

\implies \frac{ x+17}{x+7-6}=2

\implies \frac{x+17}{x+1} = 2

\implies x + 17 = 2( x + 1 )

 \implies x + 17 = 2x + 2

\implies 17 - 2 = 2x - x

 \implies x = 15

Therefore.,

\orange { Original \: number = \frac{x}{x+7}}\\=\frac{15}{15+7}\\= \frac{15}{22}

•••♪

Answered by EliteSoul
14

Answer:

\huge\bf\orange{AnsWer:\frac {15}{22}}

\huge\bf\green{Solution..}

Let the numerator be : x.

So the denominator is: (x+7)

Then the numerator increases by 17 and the denominator decreases by 6 the new number becomes 2.

\: So, \frac{x+17}{x+7-6}=2

\implies\frac{x+17}{x+1}=2

\implies\ 2(x+1)=x+17

\implies\ 2x+2=x+17

\implies\ 2x-x =17-2

\implies\ x =15

So numerator is : 15.

Then denominator is: 15+7 =17

\: So the original number= \frac{15}{22}

Hope it helps you ❤❤❤❤

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