Question

sum of two twin primes is 60 find the two prime numbers

Answer 1

We know that twin primes have a difference of two.
So
Let small prime number be x
Other number be x+2
ATP
x + x+ 2 = 60
=> 2x + 2 = 60
=> 2x = 58
=> x = 58/2
=> x = 29
So the prime numbers are
x = 29
x+2 = 31
Hope it helps.

Answer 2

As we know twin prime numbers pair are in the expression (6n-1,6n+1)

According to the question  

6n-1 + 6n+1 = 60

12n = 60

n = 5

6n-1 = 6(5)-1 = 29

6n+1 = 6(5)+1 = 31

(29,31) is the answer.