Question

Ram chose 6 different prime numbers and labeled them A, B, C, D, E and F. He then asks his friend Sam to find these numbers using the following information. (i)F is the smallest two-digit prime number. (ii) C - E = 1 (iii) On the number line, the distance between A and F is the same as the distance between D and F. Also A is smaller than D. (iv)B is greater than F and less than D. Help Sam find these prime numbers. Enter the answers for the following questions in their respective boxes and then submit. A is equal to

Answer 1

Answer with explanation:

It is given that, Ram chose 6 different prime numbers and labeled them A, B, C, D, E and F.

1.→F is the smallest two-digit prime number.=97

2.→C - E = 1

C=3, E=2

3.→On the number line, the distance between A and F is the same as the distance between D and F. Also A is smaller than D.

| A- F|=| D-A |

A=67, D=127

4. F<B < D

97<B<127

→B=101,103,107,109,113,