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? Choose the correct choice from the following answers: A) 69 B) 78 C) 96 D) Either (a) or (c) E) none of these
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.   ANSWER : Either (a) or (c)
<result>D</result>
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?