Question: When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. What is the value of x?

1. -4
2. -2
3. 11
4. 13
5. 22

Answer:
Approach Solution (1):
When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26
We get: 3x and 26 – x
For many, the tricky part is dealing with “the result is 18 more than”
We know that 3x is 18 more than 26 – x
Since 3x is 18 more than 26 – x, we can make the two quantities equal by either subtracting 18 from 3x or adding 18 to 26 – x
Let’s do the latter
We get: 3x = 26 – x + 18
Simplify: 3x = 44 – x
Add x to both sides: 4x = 44
Solve: x = 11
Correct option: C

Approach Solution (2):
The equation that can be formed is:
3x – 18 = 26 – x
Or
4x = 44
Or
x = 11
To solve such problems, pay attention while you read the question. Here, some of us might subtract 26 from x.
Correct option: C

Approach Solution (3):
The equations will be written as:
x * 3 – 18 = 26 – x
Or, 3x + x = 44
Or, 4x = 44
Or, x = 11
Hence the correct answer is 11
Correct option: C

“When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. What is the value of x?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

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