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Question

Express the following as the sum of two odd primes: 36
[3 marks]

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Solution

Here take a look at 36, it is a even number

So if we add two even numbers we can get an even number but we only have 2 as a even prime number, so this case fails

Now if we add two odd numbers we can get an even number

So possible pairs are:

5 + 31 = 36
[1 mark]
13 + 23 = 36
[1 mark]
19 + 17 = 36
[1 mark]


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