Explanation:

Let’s crack this together. We’re looking for a pattern connecting three numbers in each set, just like in (30, 14, 8) and (84, 12, 36).

First, let’s break down the given sets:

- (30, 14, 8):

30 divided by 14 is about 2.14, but let’s try subtraction—30 - 14 = 16, which doesn’t lead to 8.

But, hang on: (30 ÷ 2) - 7 = 8. But that feels forced.

Let’s try:

30 / 2 = 15 ? 15 - 7 = 8.

14 / 2 = 7.

So, seems not fitting perfectly.

- (84, 12, 36):

84 / 12 = 7 ? 36 / 7 ˜ 5.14.

84 - 12 = 72 (not 36).

84 / 2 = 42 ? 42 - 6 = 36. So, 12 / 2 = 6.

So actually, both sets:

- First number divided by 2, then subtract half of the second number.

(E.g., (30/2) - (14/2) = 15 - 7 = 8.

(84/2) - (12/2) = 42 - 6 = 36.)

Now, let’s run this pattern over the options:

- Option 1: (108, 18, 45):

(108/2) - (18/2) = 54 - 9 = 45

That matches.

- Option 2: (68, 14, 49):

(68/2) - (14/2) = 34 - 7 = 27. Doesn’t match 49.

- Option 3: (21, 28, 11):

(21/2) - (28/2) = 10.5 - 14 = -3.5. Doesn’t match 11.

- Option 4: (24, 8, 10):

(24/2) - (8/2) = 12 - 4 = 8. Doesn’t match 10.

So the only set that fits the pattern is:

Option 1: (108, 18, 45)

What this really means is that for each set, the third number = (first number ÷ 2) minus (second number ÷ 2).