Question

Denominator of a rational number is 3 more that its numerator if X then the Rational number is ________________.​

Answer 1

2/5

Step-by-step explanation:

GIVEN-

The denominator of Rational Number is 3 more than the Numerator.

If 1 is subtracted from the numerator and denominator both then the number obtained is 1/4.

To Find-

The Rational Number.

Atq.

\implies{Numerator=x}⟹Numerator=x

\implies{Denomimator=x+3}⟹Denomimator=x+3

Now,

If 1 is subtracted,

\huge{\frac{x-1}{x+3-1}=\frac{1}{4}}

x+3−1

x−1

=

4

1

\huge{\frac{x-1}{x+2}=\frac{1}{4}}

x+2

x−1

=

4

1

Cross Multiplication Method.

4(x-1)=1(x+2)4(x−1)=1(x+2)

4x-4=x+24x−4=x+2

3x=63x=6

x=2x=2

Now Put the value of x .

\implies{\bf{\blue{Numerator=2}}}⟹Numerator=2

\implies{\bf{\red{Denominator=2+3=5}}}⟹Denominator=2+3=5

Hence, The Rational Number is \huge{\frac{2}{5}}

5

2