Question

the numerator of a fraction is 10 smaller than its denominator .if 5 is added to both numerator and denominator, the fraction becomes 4/9 find the fraction​

Answer 1

Answer:

Step-by-step explanation:

AS PER THE QUESTION

LET THE NO: BE X

the numerator of a fraction is 10 smaller than its denominator = $\frac{x - 10}{x}$

if 5 is added to both numerator and denominator, the fraction becomes 4/9

                $\frac{x - 10 + 5}{x + 5}$

             =     $\frac{x - 5}{x + 5}$

             =  $\frac{x - 5}{x + 5} =\frac{4}{9}$

            $9x - 45 = 4 + 20\\\\9x - 4x = 20 +45\\\\5x = 65\\\\ x = 13$

so the no: are 13 - 5 / 13 + 5

                     8/18