iam a common multiple of 3 & 7 my digits have a total of 9
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, etc.
Which of these is also divisible by 3 and whose digits add up to 9?
Multiple of 3&7
To find a number that is a common multiple of 3 and 7 and has digits that add up to 9, we need to consider the multiples of both numbers and find one that satisfies the digit sum condition.
Let's start by listing the multiples of 3 and 7 to see if any match the given requirements:
Multiples of 3: 3, 6, 9, 12, 15, 18, ...
Multiples of 7: 7, 14, 21, 28, 35, 42, ...
To check the digit sum condition, we can add up the digits of each number:
Digits that add up to 9:
- 9 (9)
- 18 (1 + 8 = 9)
- 27 (2 + 7 = 9)
- 36 (3 + 6 = 9)
- 45 (4 + 5 = 9)
- 54 (5 + 4 = 9)
- 63 (6 + 3 = 9)
- 72 (7 + 2 = 9)
- 81 (8 + 1 = 9)
- 90 (9 + 0 = 9)
By examining the list, we can see that the number 63 satisfies all the given conditions. Therefore, 63 is a common multiple of 3 and 7, and its digits add up to 9.