Question
What digit can be written in place of x so that 4508𝑥 number divisible by 12?
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Answer to a math question What digit can be written in place of x so that 4508𝑥 number divisible by 12?
Esmeralda
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Solution:
1. A number is divisible by 12 if and only if it is divisible by both 3 and 4.
2. Check divisibility by 4:
- The last two digits of the number 4508x must be divisible by 4.
- Possible last two digits can be80, 81, 82, 83, 84, 85, 86, 87, 88, \text{or} 89
- From these,80, 84, \text{and} 88
3. Check divisibility by 3:
- The sum of the digits of the number 4508x must be divisible by 3.
- The sum of the digits 4 + 5 + 0 + 8 = 17.
- We seekx x
4. Check whichx x
- Ifx = 0
- Ifx = 4
- Ifx = 8
5. The digitx
1. A number is divisible by 12 if and only if it is divisible by both 3 and 4.
2. Check divisibility by 4:
- The last two digits of the number 4508x must be divisible by 4.
- Possible last two digits can be
- From these,
3. Check divisibility by 3:
- The sum of the digits of the number 4508x must be divisible by 3.
- The sum of the digits 4 + 5 + 0 + 8 = 17.
- We seek
4. Check which
- If
- If
- If
5. The digit
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