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# math riddle

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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?

Feb 1, 2021

### Best Answer

#1
+1

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.

Feb 1, 2021

### 2+0 Answers

#1
+1
Best Answer

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.

MooMooooMooM Feb 1, 2021
#2
0

Very nice, 4M   !!!!   CPhill  Feb 1, 2021