If is added to twice the reciprocal of a number, the result is 3. Find the number.
A) 6
B) 7
C) 3
D) 9
E) 5

Question

If  is added to twice the reciprocal of a number, the result is 3. Find the number.
A) 6 
B) 7 
C) 3 
D) 9 
E) 5

Quizplus · Accepted Answer

Let's call the number we're looking for "x". We know that:

11ec1544_37e4_977e_8a2d_9503ee547826_TBX8671_11 + 2(1/x) = 3

First, we can simplify the first term by realizing that it has nothing to do with "x". It's just a random string of characters that happens to be part of the equation. So we can ignore it for now and focus on the rest:

2(1/x) = 3

We can then solve for "x" by isolating it:

1/x = 3/2

x = 2/3

Therefore, the answer is choice B (7 is not an option).

If Is Added to Twice the Reciprocal of a Number