Question

the numerator ofa rational number is 8 less than its denominator .if the numerator is increased by 2 and denominator is decreased by1 the number by 1/2 .find the number .​

Answer 1

Step-by-step explanation:

Let the denominator be x

so numerator= x-8

Rational no.= x-8/x

New Rational no.= x-6/x-1

A.P.Q

x-6/x-1 = 1/2

2(x-6)= 1(x-1)

2x-12=x-1

x=12-1

x=11

therefore, Rational no. is x-8/x= 3/11

Answer 2

Answer:

$let \: \frac{x}{y} be \: the \: fraction \: \\ given \: x = 8 - y \\ and \: x + 2 = y - \frac{1}{2} \\ now \: solve \: these \: equations \: \\ from \: 1st \: equation \\ x + y = 8 \\ and \: x - y = - = - 2 - \frac{1}{2} \\ x - y - = - 2.5 \\ add \: these \: equations \\ 2x = - 5.5 \\ x = \frac{5.5}{2}$

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