Question

The denominator of a rational number is greater than its numerator by 10.if the numerator is increased by 19 and the denominator is decreased by 1,the number obtained is 3/2.fing the rational number.

Answer 1

Answer:

$\frac{11}{21}$

Explanation

Given

Denominator is given by numerator by 10

numerator increased by 19 and denominator decreased by 1 and the number obtained=3/2

Let the numerator be x

So it's denominator will be x+10

The rational number will be x/x+10

A/Q

x+19/x+10-1=3/2

x+19/x+9=3/2

2(x+19)=3(x+9)

2x+38=3x+27

38-27=3x-2x

11=x

Hence,numerator of the rational number=11

Denominator=x+10

=21

_________________

The rational number be

$\frac{11}{21}$