In the equation below, Solve for x if all the numbers are in base 2: \(\frac{11}{x}\) = \(\frac{1000}{x + 101}\)
A
101
B
11
C
110
D
111
E
10
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{11}{x}\) = \(\frac{1000}{x + 101}\) = 11(x + 101)
1000x = 11x + 1111
1000x - 11x = 1111
101x = 1111
x = \(\frac{1111}{101}\)
x = 11
Source: Myschool Past Questions Archive (Record #32200)