The pattern involves reversing both numbers, then adding corresponding digits column-wise: reverse(137)=731, reverse(276)=672. Adding column digits: 7+6=13, 3+7=10, 1+2=3 gives 1-3-10-3, which rearranges to 1623. This pattern applied to 731+672: reverse(731)=137, reverse(672)=276, adding column digits: 1+2=3, 3+7=10, 7+6=13 gives 3-10-13, rearranging to 1623.