Lucy is thinking of a number. The number is greater than two hundred twenty-five. Her number is less

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Lucy is thinking of a number. The number is greater than two hundred twenty-five. Her number is less than 2 hundreds, 2 tens, and 7 ones. What is Lucy's number?

Let the number be n.
n > 225

Also:
n < 2(100) + 2(10) + 7(1)
n < 200 + 20 + 7
n < 227

Combine these, we get:
225 < n < 227

Only one number satisfies this:
n = 226