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

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

Answer 2

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