my number is larger than 350. but smaller than 425. it has double the number of hundreds in the tens place. its ones number is 2 less than its tens number.
364
To find the number that meets the given conditions, let's break down the information step by step:
1. The number is larger than 350 and smaller than 425.
Let's start by listing the three-digit numbers in this range:
351, 352, 353, ..., 423, 424.
2. The number has double the number of hundreds in the tens place.
Since the tens place is what determines the number of hundreds, we need to check the hundreds place for each number:
For example, for 351, the hundreds place is 3, and the tens place is 5. Since 5 is double the number of hundreds (3 x 2 = 6), this number doesn't meet the condition.
We proceed similarly for each number in the range until we find the one that meets this condition.
3. The number's ones digit is 2 less than its tens digit.
Again, we check the tens and ones digits for each number:
For example, for 352, the ones digit is 2, and the tens digit is 5. Since 2 is 2 less than 5, this number meets the condition.
We repeat this step for each number until we find the one that satisfies this condition.
Combining both conditions, we determine the number that meets both requirements is:
352.
Therefore, the number that meets the given conditions is 352.