Question

The positive integers A, B, A-B, A+B, are all prime numbers, the sum of all 4 primes is-
A)Even
B)Divisible by 5
C)Divisible by 3
D) Prime
Step by step explanation, please.

Answer 1

Answer:

prime

Step-by-step explanation:

Correct option is

D

prime

The number A-B and A+B both are either even or odd.However they are also both prime.

So they must be odd.Therefore one of A & B is odd and the other is even.

Because A is Prime between A & B .A must be odd prime .Therefore B = 2, the

only even prime . so A-2, A and A+2 are consecutive odd prime and thus must be

3,5 , 7 .

The sum of four prime = 2+3+5+7 = 17 is the prime number

Answer 2

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