Question

the denominator of a fraction is greater than its numerator by 3.If 3 is subtracted from the numerator and 2 is added to is its denominator, the new number become1/5. find the original no.​

Answer 1

Step-by-step explanation:

Let the required number be

y

x

.

Since denominator of the number is greater than its numerator by 3.

∴y=x+3.....(1)

Also,

y+2

x−3

=

5

1

5(x−3)=y+2

5x−15=(x+3)+2

5x−15=x+5

5x−x=15+5

⇒x=

4

20

=5

Substituting the value of x in equation (1), we have

y=5+3=8

Therefore,

Required no. =

8

5

Answer 2

Step-by-step explanation:

Let the required number be yx.

Since denominator of the number is greater than its numerator by 3.

∴y=x+3.....(1)

Also,

y+2x−3=51

5(x−3)=y+2

5x−15=(x+3)+2

5x−15=x+5

5x−x=15+5

⇒x=420=5

Substituting the value of x in equation (1), we have

y=5+3=8

Therefore,

Required no. =85