Question

the denominator of rational number is 1 greater than its numerator. If the numerator is increased by 17 and the denominator is decreased by 1 , the number becomes 27 find the rational number

Answer 1

ANSWER

let numerator is x


Rational number having a denomerator 1 then
numerator


so,


$\frac{x}{x + 1}$



NUMERATOR INCREASED BY 17


AND DENOMERATOR IS DECREASED BY. 1


SO,




$\frac{x + 17}{x + 1 - 1}$


ACCORDING TO GIVEN CONDITION


THIS NUMBER IS EQUAL TO 27



$\frac{x + 17}{x} = 27$




$x + 17 = 27x$



$17 = 26x$







$x = \frac{17}{26}$