Question

the denominator of a rational number is greater than its numerator by 7 if 3 is subtracted from the numerator and 2 is added to its denominator the new number become one upon 5 find the rational number .​

Answer 1

Answer:

6/13 is the answer of your question

Answer 2

Answer:

Let the numerator of the fraction be x and the denominator of the fraction be ( x + 7 ) as it is 7 more than the numerator.

∴ Fraction =  $\frac{x}{x+7}$

Given that if 3 is subtracted from the numerator and 2 is added to its denominator , the new number becomes 1/5

As numerator was x, 3 subtracted from numerator = ( x - 3 )

As denominator was x + 7 , 2 added to denominator = ( x + 7 + 2 )

                                                                                      = x + 9

New fraction = $\frac{x-3}{x+9}$

According to the question, new fraction is equal to 1 / 5.

1 / 5 = ( x - 3 ) / ( x + 9 )

x + 9 = 5( x - 3 )

x + 9 = 5x - 15

9 + 15 = 5x - x

24 = 4x

24 / 4 =  x

6 = x

Therefore the required fraction is  $\frac{x}{x+7}$ = $\frac{6}{6+7}$ = $\frac{6}{13}$

Rational number = 6 / 13

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