We'll check the given relationship for each set. The relationship mentioned is that the third number is the sum of the second number and 16 times the first number.
Let's start with the first set of numbers: (16, 264, 288).
Our rule is that the third number should be the sum of the second number and 16 times the first number. According to that rule, the third number should be calculated like so:
264 (the second number) + 16 * 16 (16 times the first number) = 264 + 256 = 520
But in our set, the third number is 288, not 520. So the numbers in the first set (16, 264, 288) are not related in the same way as according to the given rule.
Now, let's move on to the second set of numbers: (12, 150, 168)
The rule is the same: the third number should be the sum of the second number and 16 times the first number. According to that rule, the third number should be:
150 (the second number) + 16 * 12 (16 times the first number) = 150 + 192 = 342
But in our set, the third number is 168, not 342. So the numbers in the second set (12, 150, 168) are also not related in the same way as according to the given rule.
Therefore, the sets of numbers (16, 264, 288) and (12, 150, 168) are not related in the same way.