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.
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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
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