Express each of the following numbers as the sum of twin primes.
a) 12
b) 36
c) 84
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Answer:12=5+7
36=17+19
84=41+43
Step-by-step explanation:
So before starting to answer the problem i would first like to define twin primes.Pair of two prime numbers is called twin prime if difference between them is 2 . i.e. if let x and x+2 are prime number than they will be twin primes.
So for every question consider the pair as x ,x+2
So
a)12=x+x+2
10=2x
x=5 So 12=5+7
b)36=x+x+2
34=2x
x=17 So 36=17+19
c)84=x+x+2
82=2x
x=41 So 84=41+43
Hope it helps.
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