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When 6 is multiplied by x, the result is the same as when x

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by BTGmoderatorDC » Sun Dec 09, 2018 2:29 am

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When 6 is multiplied by x, the result is the same as when x is added to 9. What is the value of x/3 ?

A. 2/5
B. 3/5
C. 6/5
D. 8/5
E. 9/5

OA B

Source: Magoosh
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Source: — Problem Solving |

by Brent@GMATPrepNow » Sun Dec 09, 2018 9:27 am
BTGmoderatorDC wrote:When 6 is multiplied by x, the result is the same as when x is added to 9. What is the value of x/3 ?

A. 2/5
B. 3/5
C. 6/5
D. 8/5
E. 9/5
When 6 is multiplied by x, the result is the same as when x is added to 9
In other words: 6x = 9 + x
Subtract x from both sides: 5x = 9
Divide both sides by 5 to get: x = 9/5

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by [email protected] » Sun Dec 09, 2018 2:07 pm
Hi All,

We're told that when 6 is multiplied by X, the result is the SAME as when X is added to 9. We're asked for the value of X/3. When dealing with GMAT questions, it's important to make sure that you answer the question that is ASKED. Here, we're NOT asked for the value of X, we're asked for the value of X/3. This prompt is essentially just about doing some basic Algebra/Arithmetic.

Based on the first sentence, we can create the following equation:
6(X) = X + 9
6X = X + 9
5X = 9
X = 9/5

Now, we have one more step to answer the question - divide by 3...
(9/5)/3 = 9/15 = 3/5

Final Answer: B

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
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by Scott@TargetTestPrep » Fri Mar 15, 2019 5:39 pm
BTGmoderatorDC wrote:When 6 is multiplied by x, the result is the same as when x is added to 9. What is the value of x/3 ?

A. 2/5
B. 3/5
C. 6/5
D. 8/5
E. 9/5

OA B

Source: Magoosh
We can create the equation:

6x = x + 9

5x = 9

x = 9/5

Thus x/3 is (9/5)/3 = 9/15 = 3/5.

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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