2022/078) Given 2 positive nymber a and b with a > b. a-b conatenated with a+b is a 5 digit number c which is prime. find c

 Fir example if  = 5 aand a = 7 then a-b = 2 and a + b = 12. Concatenating we get 212,'

Solution:

because c is prine so $a+b$ is odd so $a-b$ ( as it is $a+b -2b$) is odd. as c is a 5 digit number $a-b$ is 2 digit and$ a+ b$ is 3 digit, mallest $a-b$ is 11 and $a+b$ is odd staring from 101 putting the values we get $a+b = 113$ and $a -b = 11$ and hence c = 11113.