Express the given number as
the sum of two odd prime i. 48 ii. 36

Answer

To express the given numbers as the sum of two odd prime numbers, we will follow these steps:

### For the number 48:

1. **Understanding Prime Numbers**:
- Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. The first few odd prime numbers are 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, etc.

2. **Finding Two Odd Primes that Sum to 48**:
- We need to find two odd prime numbers that add up to 48.
- Start by testing pairs of odd primes.
- Let's try 41 and 7:
- 41 + 7 = 48
- Both 41 and 7 are odd primes.

3. **Conclusion for 48**:
- Therefore, we can express 48 as the sum of two odd primes:
- **48 = 41 + 7**

### For the number 36:

1. **Understanding Prime Numbers**:
- As mentioned earlier, prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves.

2. **Finding Two Odd Primes that Sum to 36**:
- We need to find two odd prime numbers that add up to 36.
- Let's try 31 and 5:
- 31 + 5 = 36
- Both 31 and 5 are odd primes.

3. **Conclusion for 36**:
- Therefore, we can express 36 as the sum of two odd primes:
- **36 = 31 + 5**

### Final Answers:
- 48 can be expressed as the sum of two odd primes: **48 = 41 + 7**
- 36 can be expressed as the sum of two odd primes: **36 = 31 + 5**