# Question #f8974

Jun 4, 2016

Solution is (b) i.e. sum is $52$ and consecutive prime numbers are $23$ and $29$.

#### Explanation:

Sum of two consecutive numbers will be even, unless one of them is $2$. As $39$ and $27$ are not prime numbers, we can rule out (c) and (d) options.

Further, although sum of two consecutive primes will be generally even (except under above condition, which we have ruled out), difference between then could be more than $2$ too.

A list of prime numbers is as follows

$\left\{2 , 3 , 5 , 7 , 9 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , 59 , 61 , 67 , \ldots\right\}$

It is apparent that sum of $66$ for two consecutive numbers is not possible.

The only solution is (b) and consecutive prime numbers are $23$ and $29$.