Question

a fraction becomes 1/3 when 2 is subtracted from the numerator and it becomes 1/2when 1 is subtracted from the denominator . find the fraction​

Answer 1

Answer:

Step-by-step explanation:Let numerator=x

Let denominator =y

So fraction becomes =x/y

ATQ

x-2/y=1/3

3(x-2)=y. (cross multiplying)

3x-2=y

3x-y-2=0

Now ,

x/y-1=1/2

2x=1(y-1)

2x=y-1

2x-y+1=0

Two equations are

3x-y-2=0. eq1

2x-y+1=0 eq2

Subtracting eq1 - eq2

3x-y-2-(2x-y+1)=0

3x-y-2-2x+y-1=0

x-3=0

x=3

Putting value of x in eq1

3×3-y-2=0

9-y-2=0

7-y=0

-y=-7

y=7

Hence the fraction=x/y=3/7

Hope it helps you

Please please please mark it as brainliest