My Nephew Brought Home This Menacing Maths Problem
Junaid Mubeen
25415

I don’t understand all that fuss about this problem. Just cast out the nines: 1234 leaves a remainder of 1, just like any permutation of its digits. Summing four such permutations will leave a remainder of 4, while 9000 has a reminder of 0. Are you saying that an eight grader does not yet know how to cast out nines?