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Option 1: 4 years - This option suggests that the youngest child is 4 years old. If we consider that the ages of the children are in intervals of 3 years, then the ages of the 5 children could be 4, 7, 10, 13, and 16. The sum of these ages is indeed 50, confirming the correctness of this option.
Option 2: 5 years - If the youngest child is 5 years old, then the ages of the other children would be 8, 11, 14, and 17. However, the sum of these ages is 55, which does not match the given information. Therefore, this option is not correct.
Option 3: 6 years - If the youngest child is 6 years old, then the ages of the other children would be 9, 12, 15, and 18. However, the sum of these ages is 60, which does not match the given information. Therefore, this option is not correct.
Option 4: 10 years - If the youngest child is 10 years old, then the ages of the other children would be 13, 16, 19, and 22. Again