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# If x/3 - x/6 + x/9 - x/12 = 1 - 1/2 + 1/3 - 1/4, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 56304
If x/3 - x/6 + x/9 - x/12 = 1 - 1/2 + 1/3 - 1/4, then x =  [#permalink]

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09 Jan 2019, 00:32
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Difficulty:

15% (low)

Question Stats:

88% (01:36) correct 13% (02:35) wrong based on 36 sessions

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If $$\frac{x}{3} - \frac{x}{6} + \frac{x}{9} - \frac{x}{12} = 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4}$$, then $$x =$$

A. $$3$$

B. $$1$$

C. $$\frac{1}{3}$$

D. $$-\frac{1}{3}$$

E. $$-3$$

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Re: If x/3 - x/6 + x/9 - x/12 = 1 - 1/2 + 1/3 - 1/4, then x =  [#permalink]

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09 Jan 2019, 01:05
$$\frac{(12x-6x+4x-3x)}{36}$$ = $$\frac{(12-6+4-3)}{12}$$

7x = 21
x = 3

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Re: If x/3 - x/6 + x/9 - x/12 = 1 - 1/2 + 1/3 - 1/4, then x =  [#permalink]

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09 Jan 2019, 02:10
2
Bunuel wrote:
If $$\frac{x}{3} - \frac{x}{6} + \frac{x}{9} - \frac{x}{12} = 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4}$$, then $$x =$$

A. $$3$$

B. $$1$$

C. $$\frac{1}{3}$$

D. $$-\frac{1}{3}$$

E. $$-3$$

$$\frac{x}{3} - \frac{x}{6} + \frac{x}{9} - \frac{x}{12} = 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4}$$

If we observe, to become Left hand side = Right hand side

Choose the option that satisfies $$1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4}$$

Put x=3

Only A Satisfies
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Re: If x/3 - x/6 + x/9 - x/12 = 1 - 1/2 + 1/3 - 1/4, then x =  [#permalink]

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09 Jan 2019, 02:25
Bunuel wrote:
If $$\frac{x}{3} - \frac{x}{6} + \frac{x}{9} - \frac{x}{12} = 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4}$$, then $$x =$$

A. $$3$$

B. $$1$$

C. $$\frac{1}{3}$$

D. $$-\frac{1}{3}$$

E. $$-3$$

solve for x

we would get
7x/36 = 7/12
x= 3
IMO A
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Re: If x/3 - x/6 + x/9 - x/12 = 1 - 1/2 + 1/3 - 1/4, then x =   [#permalink] 09 Jan 2019, 02:25
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