A prime number is a whole number greater than 1 that has no positive divisors other than 1 and itself. Numbers that have more than two factors are called composite numbers.

Fill in the blanks:

Example: [tex]$12 = 7 + 5$[/tex]

i. [tex]$20 = 3 + 17$[/tex]

ii. [tex]$24 = 11 + 13$[/tex]

iii. [tex]$66 = 37 + 29$[/tex]

iv. [tex]$42 = 31 + 11$[/tex]

v. [tex]$58 = 51 + 7$[/tex]



Answer :

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]