Question

the sum of a denominator and numerator of a fraction is equal equal to 30.if 3 is added to each of numerator and denominator , the fraction become 4/5 .find the fraction​

Answer 1

Step-by-step explanation:

Let the numerator be x and the denominator be y.

From the given information, we have,

x+y=18andy+2x=31or,x+y=18=>y=18−x....(i)Also,y+2x=31=>3x=y+2=>3x−y−2=0....(ii)

Solving by substitution method,

Substituting (i) in (ii), we get,

3x−y−2=0=>3x−18+x−2=0=>4x=20=>x=5

Putting x=5 in equation (i), we get,

y=18−x=>y=18−5=>y=13

Thus, the original fractyion is yx=135

Answer 2

Step-by-step explanation:

Let the numerator be x and the denominator be y.

From the given information, we have,

x+y=18and

y+2

x

=

3

1

or,x+y=18

=>y=18−x....(i)

Also,

y+2

x

=

3

1

=>3x=y+2

=>3x−y−2=0....(ii)

Solving by substitution method,

Substituting (i) in (ii), we get,

3x−y−2=0

=>3x−18+x−2=0

=>4x=20

=>x=5

Putting x=5 in equation (i), we get,

y=18−x

=>y=18−5

=>y=13

Thus, the original fractyion is

y

x

=

13

5