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# If x/3 + x/4 + 15 = x, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 58458
If x/3 + x/4 + 15 = x, then x =  [#permalink]

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23 Oct 2018, 21:19
00:00

Difficulty:

15% (low)

Question Stats:

86% (00:59) correct 14% (01:28) wrong based on 32 sessions

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If $$\frac{x}{3} + \frac{x}{4} + 15 = x$$, then x =

A. 18
B. 24
C. 36
D. 48
E. 60

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Re: If x/3 + x/4 + 15 = x, then x =  [#permalink]

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23 Oct 2018, 21:31
Bunuel wrote:
If $$\frac{x}{3} + \frac{x}{4} + 15 = x$$, then x =

A. 18
B. 24
C. 36
D. 48
E. 60

$$\frac{x}{3} + \frac{x}{4} + 15 = x$$

i.e. $$\frac{7x}{12} + 15 = x$$

i.e. $$15 = x - \frac{7x}{12}$$

i.e. $$15 = \frac{5x}{12}$$

i.e. $$x = 36$$

Answer: Option C
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Re: If x/3 + x/4 + 15 = x, then x =  [#permalink]

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23 Oct 2018, 21:32
Bunuel wrote:
If $$\frac{x}{3} + \frac{x}{4} + 15 = x$$, then x =

A. 18
B. 24
C. 36
D. 48
E. 60

$$\frac{x}{3} + \frac{x}{4} + 15 = x$$

On Simplication

$$\frac{7x}{12}$$+15=x

So x has to be multiple of 12

Plug in and Verify

$$\frac{7(36)}{12}+15=36$$

Hence C
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Re: If x/3 + x/4 + 15 = x, then x =   [#permalink] 23 Oct 2018, 21:32
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