Question 305809: what is the number that satisfies the following three conditions ?
It is an integer greater than 999 and less than 1,234
The sum of its digits is 14
Its tens and units digits are the same
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! First digit is 1.
Last two digits are the same. 11,22,33,44,55,66,77,88,99,00
The sum is 14.
The sum of the first (1) and last two (from above) is 3,5,7,9,11,13,15,17,19,1
The hundreds digit must be between 0 and 9.
Look at the sums and throw out any less than 5 (5+9=14) and greater than 14.
That leaves five possible combinations: 5,7,9,11,13.
For each of these to make 14 the final digit must be 9,7,5,3,1
Match up the sums with the appropriate two last digit pairs, 5 (with final digit 9) goes with the 22 pair
1922
1733
1544
1355
1166
The last limit is the number needs to be between 999 and 1234.
1166 is the number.
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