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# If 12 = 11/x - 3/x, then x =

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If 12 = 11/x - 3/x, then x =  [#permalink]

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20 Mar 2020, 23:30
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Difficulty:

15% (low)

Question Stats:

92% (00:29) correct 8% (01:23) wrong based on 24 sessions

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If $$12 = \frac{11}{x} - \frac{3}{x}$$, then $$x =$$

(A) 3/11
(B) 1/2
(C) 2/3
(D) 11/12
(E) 11/3

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Re: If 12 = 11/x - 3/x, then x =  [#permalink]

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21 Mar 2020, 05:03
Top Contributor
If $$12 = \frac{11}{x} - \frac{3}{x}$$, then $$x =$$

(A) 3/11
(B) 1/2
(C) 2/3
(D) 11/12
(E) 11/3

Given: $$12 = \frac{11}{x} - \frac{3}{x}$$

To eliminate the fractions, we can multiply both sides of the equation by $$x$$ to get: $$12x = \frac{11x}{x} - \frac{3x}{x}$$

Simplify to get: $$12x = 11 - 3$$
Simplify: $$12x = 8$$
Divide both sides by $$12$$ to get: $$x = \frac{8}{12} = \frac{2}{3}$$

Cheers,
Brent
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Re: If 12 = 11/x - 3/x, then x =  [#permalink]

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21 Mar 2020, 08:17

Solution

Given
In this question, we are given that
• An equation of x as: 12 = 11/x – 3/x

To find
We need to determine
• The value of x, from the given equation

Approach and Working out
Simplifying the given equation, we get:
• 12 = 11/x – 3/x
Or, 12x = 11 – 3
Or, 12x = 8
Or, x = 8/12 = 2/3

Thus, option C is the correct answer.

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Re: If 12 = 11/x - 3/x, then x =   [#permalink] 21 Mar 2020, 08:17