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Bot The possible numbers that are multiples of 2, 3 and 5 between 20 and 100 are:
30, 60, 90
To find all the possible combinations of these numbers whose sum of digits is 6, we can use a systematic approach.
For the number 30, there are only two possibilities:
- 3 + 0 = 3
- 0 + 3 = 3
For the number 60, there are three possibilities:
- 6 + 0 = 6
- 0 + 6 = 6
- 3 + 3 = 6
For the number 90, there are two possibilities:
- 9 + 0 = 9
- 0 + 9 = 9
Therefore, the possible numbers whose sum of digits is 6 are:
- 30
- 60
- 33 (30 + 3)
- 63 (60 + 3)
- 36 (30 + 6)
- 66 (60 + 6)
- 39 (30 + 9)
- 69 (60 + 9)
The sum of these numbers is:
30 + 60 + 33 + 63 + 36 + 66 + 39 + 69 = 396
Therefore, the sum of the digits of all the possible combinations of multiples of 2, 3 and 5 between 20 and 100 whose sum of digits is 6 is 396.