If all the 2’s in the numbers below are removed, then how many of the numbers will be less than 50?120, 213, 302, 220, 925,125, 823, 628

1. Break Down the Problem

To solve the problem, we will follow these steps:

1. Remove all occurrences of the digit '2' from each number.
2. Count how many of the resulting numbers are less than 50.

2. Relevant Concepts

We need to perform digit removal and comparison of numbers.

3. Analysis and Detail

Let's remove the '2's from each number:

• 120 → 10
• 213 → 13
• 302 → 30
• 220 → 0
• 925 → 95
• 125 → 15
• 823 → 83
• 628 → 68

Now, we will evaluate which of these numbers are less than 50:

• 10 < 50 (Yes)
• 13 < 50 (Yes)
• 30 < 50 (Yes)
• 0 < 50 (Yes)
• 95 < 50 (No)
• 15 < 50 (Yes)
• 83 < 50 (No)
• 68 < 50 (No)

4. Verify and Summarize

From the numbers obtained after removing '2's, the valid counts are:

• 10, 13, 30, 0, 15 (All less than 50)

Thus, there are 5 numbers that are less than 50 after removing '2's.

Final Answer

The total count of numbers less than 50 after removing all 2's is 5.