Answer:
Let the numerator and denominator of the fraction be x and y respectively. Then,
Fraction =
y
x
It is given that
Denominator =2 (Numerator) +4
⇒y=2x+4
⇒2x−y+4=0
According to the given condition, we have
y−6=12(x−6)
⇒y−6=12x−72
⇒12x−y−66=0
Thus, we have the following system of equations
2x−y+4=0 .(i)
12x−y−66=0 ..(ii)
Subtracting equation (i) from equation (ii), we get
10x−70=0
⇒x=7
Putting x=7 in equation (i), we get
14−y+4=0
⇒y=18
Hence, required fraction =
18
7
.
