Doing her homework Jane evaluated xy as a concatenation of two 3-digit numbers instead of a product x*y, thus obtaining a result n times bigger than the correct one.

Knowing that n is an integer find all possible solutions fitting the above fact.

      143143       20449           7

      167334       55778           3

rabbit-3:~ lord$ more jane.f

        program jane

        implicit none

        integer x,y,xy,xty,n

           do x=100,999

                do y=100,999

                xy=1000*x+y

                xty=x*y

                n=xy/xty

                if(n*xty.eq.xy)print*,xy,xty,n

                enddo

           enddo

end

Edited on February 6, 2019, 8:09 am

Posted by Steven Lord on 2019-02-06 08:08:55