Let us assume the value of Carl's number = c and
value of Khloe's number = k.
Khloe's number is 2 times the value of Carl's number.
Two times of c could be written as 2c.
We can setup first eqation now,
k = 2c .......................... equation(1).
Khloe's number is also 2 more than 4 times the value of Carl's number.
2 more than 4 times of Carl's number could be represent, 4c+2.
So, we can setup another equation as,
k = 4c+2 ................equation(2).
So, we get system of equations,
k = 2c and k = 4c+2 .
Subtracting equation(1) from equation(2).
k = 4c+2
-(k = 2c )
-------------------
0 = 2c +2.
Subtracting 2 from both sides, we get
0-2 = 2c +2 -2
-2 = 2c
Dividing both sides by 2, we get
-2/2 = 2c/2
-1 =c.
Plugging c=-1 in first equation,
k=2(-1) = -2.
Therefore, Khloe's number is -2.
Option C) -2 is correct option.
