For the question “How old are my children”, arent a lot of possibilities neglected? eg – Why arent there any children with age 1? 9, 8, 1 24, 3, 1 18, 4, 1 36,

For the question “How old are my children”, arent a lot of possibilities neglected? eg – Why arent there any children with age 1? 9, 8, 1 24, 3, 1 18, 4, 1 36, 2, 1 12, 6, 1 In this case, in addition to the two cases which add up to 14 (as pointed out in the solution), there is another case wherein the ages add up to 13: 12, 6, 1 (sum=13) 6, 4, 3 (sum=13) Why is this case ignored? Isnt more data required to “break the tie” and get a unique solution?