I am a number less than 1000. The sum of my first and last digits is 8. When I am written in the reverse order, my new number is 16 less than three times the original number. If my middle digit is zero. What number am I?
+538 NUmbers that sum to 8
0 and 8
1 and 7
2 and 6
3 and 5
4 and 4
The first number should be smaller than the next so trying them we have
008 (doesn't work bc it 8 which doesn't have a middle number of 0)
107 (107*3=321-16=305) doesn't equal 701
206 (206*3=318-16=602) works
So the original number was 206.
+538 NUmbers that sum to 8
0 and 8
1 and 7
2 and 6
3 and 5
4 and 4
The first number should be smaller than the next so trying them we have
008 (doesn't work bc it 8 which doesn't have a middle number of 0)
107 (107*3=321-16=305) doesn't equal 701
206 (206*3=318-16=602) works
So the original number was 206.
