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35 votes
35 votes
Which of the following pairs of numbers gives a sum that is a prime and a product that is composite is it 2 and 9, 3 and 7 or 4 and 8

User Vindhya G
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1 Answer

14 votes
14 votes

Explanation:

2 and 9

3 and 7

4 and 8

what I see right away : the only pair whose sum is a prime number (or only just an uneven number) is 2 and 9.

2 + 9 = 11

3 + 7 = 10

4 + 8 = 12

just because these sums are even numbers they cannot be prime numbers and are "out".

A composite number is a positive integer that can be formed by multiplying two smaller positive integers different than 1.

so, the product of 2 numbers is therefore always a composite number, and the question in that direction is completely redundant (without any additional meaning).

so, again, 2 and 9 is the right answer.

User Shingaridavesh
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3.0k points