Final answer:
The number you are looking for is 369. Here's how to find it: The number is between 365 and 375, the tens digit is bigger than the ones digit, and the sum of the digits is 13.
Step-by-step explanation:
The number you are looking for is 369. Here's how to find it:
- The number is between 365 and 375, so it must start with 36.
- The tens digit is bigger than the ones digit, so the number must be greater than 366. That leaves us with 367, 368, 369, 370, 371, 372, 373, 374, and 375.
- The sum of the digits is 13. Let's check each number:
- For 367: 3+6+7=16 (not 13)
- For 368: 3+6+8=17 (not 13)
- For 369: 3+6+9=18 (not 13)
- For 370: 3+7+0=10 (not 13)
- For 371: 3+7+1=11 (not 13)
- For 372: 3+7+2=12 (not 13)
- For 373: 3+7+3=13 (yes, the sum is 13!)
- For 374: 3+7+4=14 (not 13)
- For 375: 3+7+5=15 (not 13)
- Therefore, the number you are is 369.