Question

The difference between a three digit prime number and two digit prime number is 26 find their sum

Answer 1

Answer:

The last digit has to be odd,otherwise, it won't be prime at very first hand.

Now if we further check for 1,3,5,7,9,-

Last digit 1 isn't possible because it won't satisfy the other option of summing and reversing.

For 3, other 2 digits would be 1,2-that's not prime.

Last digit 5-not a prime.

Similarly for 9, digit sum would be 18 which is not a prime.

Therefore, only possibility is 7.

So the pairs are: 1,6 and 2,5 and 3,4

Thus numbers can be 167,617,347,437,257,527

527 is divisible by 17

437 is divisible by 19

Therefore, the total number of primes are 167,617,347,257.

Hence, there are 4 primes.