Aptitude - Problems on Numbers - Discussion

Discussion Forum : Problems on Numbers - General Questions (Q.No. 6)
6.
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
69
78
96
Cannot be determined
None of these
Answer: Option
Explanation:

Let the ten's digit be x and unit's digit be y.

Then, x + y = 15 and x - y = 3   or   y - x = 3.

Solving x + y = 15   and   x - y = 3, we get: x = 9, y = 6.

Solving x + y = 15   and   y - x = 3, we get: x = 6, y = 9.

So, the number is either 96 or 69.

Hence, the number cannot be determined.

Discussion:
41 comments Page 5 of 5.

Jagdish said:   9 years ago
If the question is: The sum of two digits is 15 and the difference between the ten's digit and unit's digit is 3. Then the answer would be 96.

But the question given is simply: the difference between the digits is 3. He didn't said about the position of the digits.

So the given answer is correct. It cannot be determined. The answer can be 69 or 96.


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