Question

If a,b are twin primes and b,c are twin primes, then the value of a+c is

Answer 1

Given,

a and b are twin primes

or, b-a=2 -(i)

b and c are twin primes

or, c-b=2. -(ii)

adding i came ki

c-b=2

-a+b=2

-------

c-a=4

Answer 2

The value of a+c is 2b.

Given:

a, b and b, c are twin primes

To find:

The value of a+c

Solution:

We know that the difference between twin primes is 2.

So, the twin primes are as follows-

a and b, b and c

On taking the difference, we get

a-b=2

a=2+b (1)

b-c=2

c=b-2 (2)

Now we will add (1) and (2),

a+c=2+b+b-2

a+c=2b

Therefore, the value of a+c is 2b.

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