If x* = (3x + 2)/6, and x = 6x + 1, then what will be the value of x*?
If x* = (3x + 2)/6, and x = 6x + 1, then what will be the value of x*?
a. 3x + 5/6
b. 2x + 6/5
c. 6/5 + 2x
d. 5/6 + 2x
e. None of the above
Thanks for asking question on GMAT Section,
Your question was – If x* = (3x + 2)/6, and x = 6x + 1, then what will be the value of x*?
Your correct answer is- A
Now read this explanation for more clarifications:
According to the data given in the question,
x* = (3x + 2)/6…..(i)
and x = 6x + 1……(ii)
Substituting the value of x from equation ii in equation i, we get,
x* = (3(6x + 1) + 2)/6
∴ x* = (18x + 3 + 2)/6
∴ x* = (18x + 5)/6
∴ x* = 3x + 5/6
Hence, the correct answer is option a.
