In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 15, find the number?  Choices: A) 867 B) 864 C) 753 D) 946 E) 549
753   753   Let the three digit numbers be 100a + 10b + c   a = b + 2   c = b - 2   a + b + c = 3b = 15=&gt; b = 5   So a = 7 and b = 3   Hence the three digit number is: 753
<result>C</result>
In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 15, find the number?