Respuesta :
Answer:
[tex] \huge{ \boxed{ \sf{5 \: and \: 7}}}[/tex]
☪ Question :
☇ Both numbers are prime in which of the following pairs of numbers ?
☐ 5 and 9
☐ 7 and 9
☐ 5 and 6
☑ 5 and 7 ---- Answer !!
☐ 7 and 8
-----------------------------------------------------------------
☥ Let's explore about prime numbers and composite numbers !!
- A prime number is a whole number that only has two factors which are one and itself.
- A composite number is a whole number with 3 or more factors.
[tex] \underline{ \text{Still \: confused ?}}[/tex]
Alright , Let's check all the options :
☐ 5 and 9
⤿ 5 is a prime number as it can only be divided by 1 and itself but 9 is not a prime number as it can be divided by more than two numbers ( i.e 1 , 3 and 9 )
☐ 7 and 9
⤿ 7 is a prime number as it can only be divided by 1 and itself but 9 is a composite number as it can be divided by 1 , 3 and 9.
☐ 5 and 6
⤿ 5 is a prime number as it can only be divided by 1 and itself but 6 is a composite number as it can be divided by more than two numbers ( i.e 1 , 3 and 6 )
☑ 5 and 7
⤿ Yeah ! 5 and 7 are prime numbers as they only have two factors which are one and itself.
☐ 7 and 8
⤿ 7 is a prime number as it can only be divided by 1 and itself but 8 is a composite number as it can be divided by more than two numbers ( i.e 1 , 2 , 4 and 8 )
Hope I helped!
Have a wonderful day ! ツ
~TheAnimeGirl ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Here we just need to identify the pair of prime numbers, we will see that the correct option is D: 5 and 7.
Prime numbers.
Prime numbers are the numbers that can only be divided by themselves and 1.
So we just need to test each one of the given numbers to see if these are primes or not, for example for 6 we have:
6/3 = 2
6/2 = 3
So 6 is not a prime.
Similarly for 8 we have:
8/2 = 4
8/4 = 2
So 8 is not a prime.
In the other hand, 5 and 7 can only be divided by themselves, thus 5 and 7 are primes.
Then the correct option is D, 5 and 7.
If you want to learn more about prime numbers, you can read:
https://brainly.com/question/145452