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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?

Answer & Solution
Correct Answer: Option D
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.
Examveda
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Halfcooked Thoughts
Halfcooked Thoughts 5 years ago
The number is 96 because the difference of the digits is positive. Which means that the number in the tens unit is greater than the number in units place. Hence, it has to be 96