In the questions, there is a certain relationship between the two given numbers on one side of :: and one number is given on another side of :: . It is required to find another number from the given alternative having the same relationship with this number as the numbers of the given pair has :
18:30 :: 36:?

Options

A. 54
B. 62
C. 64
D. 66

Explanation

To solve the analogy question 18:30 :: 36:?, we need to identify the relationship between the numbers 18 and 30, and then apply the same relationship to the number 36 to find the missing number.

### Step-by-Step Solution:

1. **Identify the relationship between 18 and 30**:
- We can observe that 30 is derived from 18 by first doubling 18 and then subtracting 6.
- Calculation:
- Double 18: \( 18 \times 2 = 36 \)
- Subtract 6: \( 36 - 6 = 30 \)

2. **Apply the same relationship to the number 36**:
- We will first double 36 and then subtract 6.
- Calculation:
- Double 36: \( 36 \times 2 = 72 \)
- Subtract 6: \( 72 - 6 = 66 \)

3. **Conclusion**:
- Therefore, the number that corresponds to 36 in the same relationship as 18 is to 30 is 66.

### Final Answer:
The answer is 66.