Question

A fraction becomes1/2 when 1 is substrated from its
numerator and 1 is added to its denominator Also
it becomes1/3 when 6 is subtraded from its numerator
and 1 From the denominator and the original fraction.
with full method​

Answer 1

Answer:

Let numerator =x

Denominator =y

According to ques.

Step-by-step explanation:

(x-1)/(y+1)=1/2......(1)

(x-6)/(y-1)=1/3..... (2)

From1,

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

Y+1=2x-2

2x-y=2+1

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

From2,

1(y-1)=3(x-6)

y-1=3x-18

3x-y=18-1

3x-y=17........(4)

(3)-(4),we get

2x-y-3x+y=3-17

-x=-14

x=14..... Put in (3)

2(14)-y=3

28-y=3

-y=3-28

-y=-25

i.e. y=25

So fraction =14/25 ans.

Answer 2

Answer:

According to First Condition

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

2x-2 = y+1

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

according to second condition

(x-6) /(y-1) = 1/3

3x-18= y-1

3x-y = 17 ------------(2)

solving

x= 14

y= 25