The even numbers between 325 and 337 are 326, 328, 330, 332, 334, and 336.
Let's analyze each even number to see which one meets the condition that the sum of the hundred digit and the tens digit equals the ones digit.
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For 326:
- Hundreds digit: 3
- Tens digit: 2
- Ones digit: 6
- Sum of hundreds and tens: 3 + 2 = 5 (not equal to 6)
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For 328:
- Hundreds digit: 3
- Tens digit: 2
- Ones digit: 8
- Sum of hundreds and tens: 3 + 2 = 5 (not equal to 8)
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For 330:
- Hundreds digit: 3
- Tens digit: 3
- Ones digit: 0
- Sum of hundreds and tens: 3 + 3 = 6 (not equal to 0)
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For 332:
- Hundreds digit: 3
- Tens digit: 3
- Ones digit: 2
- Sum of hundreds and tens: 3 + 3 = 6 (not equal to 2)
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For 334:
- Hundreds digit: 3
- Tens digit: 3
- Ones digit: 4
- Sum of hundreds and tens: 3 + 3 = 6 (not equal to 4)
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For 336:
- Hundreds digit: 3
- Tens digit: 3
- Ones digit: 6
- Sum of hundreds and tens: 3 + 3 = 6 (equals to 6)
The only number that fits the condition is 336.
So, Tommy's number is 336.