Question

A fraction becomes 1/3, if 2 is added to both of its numerator and denominator. If 3 is added
to both of its numerator and denominator then it becomes 45. Find the fraction.​

Answer 1

Answer:

Let the fraction be

q

p

q+1

p+1

=

5

4

⇒5(p+1)=4(q+1)

⇒5p+5=4q+4

⇒5p+1=4q

⇒q=

4

5p+1

q−5

p−5

=

2

1

⇒2p−10=q−5

⇒2p−10=

4

5p+1−20

⇒8p−40=5p−19

⇒3p=21

p=7

q=

4

36

=9

Fraction =

9

7

.