Select the pair in which the numbers are related to each other in the same way as are the numbers in the given pairs: 12 : 25 and 11 : 23. (Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits.)

Question

Accepted Answer

Let's analyze the relationship between the numbers in the given pairs:

First pair: 12 : 25
Second pair: 11 : 23

Let's look for a pattern:

Check if the second number is one more than twice the first:
- For 12: 2 × 12 = 24, 24 + 1 = 25
- For 11: 2 × 11 = 22, 22 + 1 = 23

So, the pattern is: Second number = (2 × First number) + 1

Now, let's check the options:

1. 15 : 29 → 2 × 15 = 30, 30 + 1 = 31 (not 29)
2. 25 : 49 → 2 × 25 = 50, 50 + 1 = 51 (not 49)
3. 21 : 43 → 2 × 21 = 42, 42 + 1 = 43 (correct)
4. 18 : 35 → 2 × 18 = 36, 36 + 1 = 37 (not 35)

Therefore, the correct answer is option 3: 21 : 43.

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