Question

the denominator of a rational no. is twice is numerator. If the decrease by 3 and the denominator increase by 7 the number obtained is 2/3 find the rattional no.​

Answer 1

Solution:-

Let the Numerator be "x" then the Denominator will be "2x".

A.T.Q.

=) ( x - 3)/( 2x + 7) = 2/3

=) ( x - 3)3 = ( 2x + 7)2

=) 3x - 9 = 4x + 14

=) 3x - 4x = 14 + 9

=) -x = 23

=) x = -23

Hence,

Numerator = x = -23

Denominator = 2x = -46

Answer 2

Answer

Numerator be x

Numerator be x Denominator will be 2x.

$x \: and \: 2x$

$(x-3/2x+7=2/5.)</p><p>$

$5(x-3)=2(2x-7)</p><p>$

$(5x-15=4x-14)</p><p>$

$(x=29)</p><p>$

$(2x=58)$

Hence proved