Question

Find the fraction which is equal to 1/2 when both its numerator and denominator are increased by 2.It is equal
to 3/4 when both are increased by 12.
​

Answer 1

Answer:

18/16

Step-by-step explanation:

let the fraction be x/y

ATQ

x+2/y+2 =1/2

2x+4 =y+2

2x-y+2 =0

y= 2x+2. ...1.

and

x+12/y+12 =3/4

4x +48=3y +36

4x+3y+12= 0. ...2.

put value of y in eq 2.

4x+3(2x+2) +12 = 0

4x+ 6x +6 +12 =0

10x +18 =0

x= -18/10

put value of x in eq. 1.

2(-18/10) + 2 = y

-36/10 +2 = y

y = -16/10

fraction = x/y

= -18/10/-16/10

= 18/16