I am not even I am greater than 200 the sum of my digits is nine i am a multiple of five I am less than 300 I am evenly divisible by nine
I am NOT even, and I am a multiple of 5 ---> must end in 5
must look like AB5
must be between 200 and 300 ,so A = 2
must look like 2B5
to be divisible by 9 , the sum of the digits must be a multiple of 9
so 2+B + 5 = a multiple of 9
B = 2
your number is 225
check for all the required properties.
225
To find the number that satisfies all of the given conditions, let's break down the information step by step:
1. The number is greater than 200: This means the number must be 201 or higher.
2. The sum of the digits is nine: This narrows down the possibilities. The digits that add up to nine are (1,8), (2,7), (3,6), and (4,5). However, since the number is less than 300, the only valid possibility is (2,7).
3. The number is a multiple of five: Among the digits (2,7), the only multiple of five is 27.
4. The number is less than 300: As determined in step 3, the number is 27, which is indeed less than 300.
5. The number is evenly divisible by nine: The digits 2 and 7 sum up to 9, making the number 27 divisible by 9.
Therefore, the number that satisfies all of the given conditions is 27.
To find the number that meets all the given conditions, we can follow these steps:
1. Start by listing out the multiples of 5 that are less than 300: 5, 10, 15, 20, 25, ..., 295.
2. Next, we need to find the numbers among these multiples of 5 for which the sum of their digits is nine and they are divisible by nine. Let's check each number:
- For 5: The sum of its digits is not nine.
- For 10: The sum of its digits is not nine.
- For 15: The sum of its digits is not nine.
- For 20: The sum of its digits is not nine.
- For 25: The sum of its digits is not nine.
- For 30: The sum of its digits is not nine.
- For 35: The sum of its digits is not nine.
- For 40: The sum of its digits is not nine.
- For 45: The sum of its digits is not nine.
- For 50: The sum of its digits is not nine.
- For 55: The sum of its digits is not nine.
- For 60: The sum of its digits is not nine.
- For 65: The sum of its digits is not nine.
- For 70: The sum of its digits is not nine.
- For 75: The sum of its digits is not nine.
- For 80: The sum of its digits is not nine.
- For 85: The sum of its digits is not nine.
- For 90: The sum of its digits is not nine.
- For 95: The sum of its digits is not nine.
- For 100: The sum of its digits is not nine.
- For 105: The sum of its digits is not nine.
- For 110: The sum of its digits is not nine.
- For 115: The sum of its digits is not nine.
- For 120: The sum of its digits is not nine.
- For 125: The sum of its digits is not nine.
- For 130: The sum of its digits is not nine.
- For 135: The sum of its digits is not nine.
- For 140: The sum of its digits is not nine.
- For 145: The sum of its digits is not nine.
- For 150: The sum of its digits is not nine.
- For 155: The sum of its digits is not nine.
- For 160: The sum of its digits is not nine.
- For 165: The sum of its digits is not nine.
- For 170: The sum of its digits is not nine.
- For 175: The sum of its digits is not nine.
- For 180: The sum of its digits is not nine.
- For 185: The sum of its digits is not nine.
- For 190: The sum of its digits is not nine.
- For 195: The sum of its digits is not nine.
- For 200: The sum of its digits is not nine.
- For 205: The sum of its digits is not nine.
- For 210: The sum of its digits is not nine.
- For 215: The sum of its digits is not nine.
- For 220: The sum of its digits is not nine.
- For 225: The sum of its digits is not nine.
- For 230: The sum of its digits is not nine.
- For 235: The sum of its digits is not nine.
- For 240: The sum of its digits is not nine.
- For 245: The sum of its digits is not nine.
- For 250: The sum of its digits is not nine.
- For 255: The sum of its digits is not nine.
- For 260: The sum of its digits is not nine.
- For 265: The sum of its digits is not nine.
- For 270: The sum of its digits is not nine.
- For 275: The sum of its digits is not nine.
- For 280: The sum of its digits is not nine.
- For 285: The sum of its digits is not nine.
- For 290: The sum of its digits is not nine.
- For 295: The sum of its digits is not nine.
After checking all the numbers, there is one that meets all the given conditions: 135.
Therefore, the number you are looking for is 135.