If the numbers (a-b) (a+b) are twin primes, then a and b are necessarily what? A) Twin primes b) Co Primes c) Cannot Say d) None of these
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Twin primes are a set of two prime numbers having a difference of 2.
For example: (3,5), (5,7), (11,13), (17,19) etc
So, (a+b) and (a-b) are twin primes,
b must be equal to 1.
For example, if we take (3,5); a= 4 and b=1
if we take (11,13); a= 12 and b=1
if we take (29,31); a= 30 and b=1
Since b is always 1, there can be only one common factor between a and b.
Hence a and b are always co-prime.
Answer is B.
For example: (3,5), (5,7), (11,13), (17,19) etc
So, (a+b) and (a-b) are twin primes,
b must be equal to 1.
For example, if we take (3,5); a= 4 and b=1
if we take (11,13); a= 12 and b=1
if we take (29,31); a= 30 and b=1
Since b is always 1, there can be only one common factor between a and b.
Hence a and b are always co-prime.
Answer is B.
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