Sure, let's fill in the blanks step by step.
### Example:
12 can be expressed as the sum of two prime numbers:
[tex]\[ 12 = 7 + 5 \][/tex]
### i.
You want to find a number such that when added to 17 gives 20:
[tex]\[ 20 = 3 + 17 \][/tex]
### ii.
24 is already partially given as \( 7 + \) something else. We know from the given result that:
[tex]\[ 24 = 7 + 17 \][/tex]
### iii.
66 needs to be split into two prime numbers, one of which is 29:
[tex]\[ 66 = 37 + 29 \][/tex]
### iv.
Here, you want to find a number such that when added to 31 gives 42:
[tex]\[ 42 = 31 + 11 \][/tex]
Then double-check the equality involving the number 19 to clarify it:
[tex]\[ 42 = 31 + 11\quad \text{(11 here was previously provided for precision)} \][/tex]
### v.
Finally, 58 needs to be logically broken down similarly:
[tex]\[ 58 = 51 + 7 \][/tex]
Here is the text with the blanks filled in:
Example: \( 12 = 7 + 5 \)
i. \( 20 = 3 + 17 \)
ii. \( 24 = 7 + 17 \)
iii. \( 66 = 37 + 29 \)
iv. \( 42 = 31 + 11 \)
v. [tex]\( 58 = 51 + 7 \)[/tex]
