Question

A fraction becomes 1/3 if 1 is subtracted from both its numerator and denominator.
Ir 1 is added to both the numerator and denominator, it becomes 1/2. Find the
fraction​

Answer 1

Answer:

Step-by-step explanation:

let the numerator be x and let the denominator be y

x-1/y-1=1/3

3(x-1)=y-1

3x-3=y-1

3x-y=-1+3

3x-y=2------------(1)

x+1/y+1=1/2

2(x+1)=y+1

2x+2=y+1

2x-y=1-2

2x-y=-1--------------(2)

solving 1 and 2

3x-y=2

2x-y=-1

-----------

x=3

substituting x=3 in 1

3x-y=2

3*3-y=2

9-y=2

-y=2-9

-y=-7

y=7

so therefore the numerator is 3 and the denominator is 7

therefore the fraction is 3/7

hope this helped you ;)

Answer 2

HEYA!!

Let the fraction be x/y

according to question

×-1/y-1=1/3

3x-3=y-1

3x-y=2----1

x+1/y+1=1/2

2x+2=y+1

2x-y=-1------2

by equation 1 and 2

we get,

the fraction value

= 3/7