Question: Let x be a two-digit number. If the sum of the digits of x is 9, then the sum of the digits of the number (x + 10) is:
- 1
- 8
- 10
- Either 8 or 10
- Either 1 or 10
Approach Solution (1)
Adding 10 to this number gives 82
The sum of the digits of this number is 10
Now, let's choose another two-digit number whose digits add up to 9, say, 90
Then, x + 10 = 90 + 10 = 100
The sum of the digits of this number is 1
Hence, the sum of the numbers is either 1 or 10
Correct option: E
Approach Solution (2)
A + B can be:
1 + 8
2 + 7
3 + 6
4 + 5
5 + 4
6 + 3
7 + 2
8 + 1
9 + 0
If x = 18, x + 10 = 28
Sum of digit = 2 + 8 = 10
If x = 27, x + 10 = 37
Sum of digit = 3 + 7 = 10
If x = 90, x + 10 = 100
Sum of digit = 1 + 0 + 0 = 1
Correct option: E
Approach Solution (3)
So, x + 10 = 18 + 10 = 28
2 + 8 = 10
So, the correct answer is either C, D or E
90 is the biggest possible value of x.
So, x + 10 = 90 + 10 = 100
1 + 0 + 0 = 1
Correct option: E
“Let x be a two-digit number. If the sum of the digits of x is 9, then?”- 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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