Question

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

Answer 1

Explanation:

Let Numerator ne =x

Denominator=x+1

Then Numerator is increased by 17=x+17

Denominator is decreased by 1=x+1-1=x

A/Q

\begin{lgathered}\frac{x + 17}{x} = 27 \\ taking \: x \: to \: RHS \\ = x + 17 = 27x \\ 17 = 27x - x \\ 17 = 26x \\ x = \frac{17}{26} \\ rational \: number = \frac{17}{26}\end{lgathered}

x

x+17

=27

takingxtoRHS

=x+17=27x

17=27x−x

17=26x

x=

26

17

rationalnumber=

26

17