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Question 763943: Find a four digit whole number that satisfies these conditions: the numbers is less than 1 300, the sum of the digits is 14, none of the digits are equal, and the digits in the tens place and ones place are consecutive numbers.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! A four digit whole number that is less than 1 300 must have a 1 in the thousands place.
If none of the digits are equal, the digit in the hundreds place cannot be 1.
Because the number is less than 1 300, the digit in the hundreds place must be either 0 or 2.
If the digit in the hundreds place is 0, and all four digits add to 14, the digits in the tens place and ones place must add to 13, and since they are consecutive numbers they must be 6 and 7.
If we understand that the digit in the ones place is the number after the digit in the tens place, then the four-digit number is  .
If the digits in the tens place and ones place are consecutive numbers, but not necessarily in that order, it could also be  .
If the digit in the hundreds place is 2, and all four digits add to 14, the digits in the tens place and ones place must add to 11, and since they are consecutive numbers they must be 5 and 6.
If the digits in the tens place and ones place are consecutive numbers in that order (the digit in the ones place being the number after the digit in the tens place), then the number is  .
If the digits in the tens place and ones place are consecutive numbers, but not necessarily in that order, it could also be  .
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