Final answer:
To find the option with numbers related in the same way as 80 : 4a, divide 80 by 4 to find the value of 'a' and check the options. So the correct answer is option D.
Step-by-step explanation:
To determine which option has numbers related in the same way as the given number-pair 80 : 4a, we need to analyze the relationship between the two numbers. In the given number-pair, 80 is related to 4a. 80 divided by 4 is equal to a. So, a equals 20.
Now, let's check the options:
- 40 divided by 3 is approximately 13.33, not equal to a (20). Incorrect.
- 150 divided by 5 is 30, which is equal to a (20). Incorrect.
- 20 divided by 2 is 10, not equal to a (20). Incorrect.
- 180 divided by 6 is 30, which is equal to a (20). Correct.
Hence, the option in which the two numbers are related in the same way as the given number-pair 80 : 4a is d. 180 : 6.