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?
A. 69
B. 78
C. 96
D. Cannot be determined
E. None of these
Answer: Option D
Solution(By Examveda Team)
Let the ten's digit be x and unit's digit be yThen, 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.
This Question Belongs to Arithmetic Ability >> Problems On Numbers
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