Yash Jain
Last Activity: 10 Years ago
The correct answer is C
The explanation for the answer is:
The product of the ages of the three children is 36.
Thus, their possible ages and the sum of their ages are:
1 year, 1 year, 36 years; Sum = 38
1 year, 3 years, 12 years; Sum = 16
1 year, 4 years, 9 years; Sum = 14
1 year, 6 years, 6 years; Sum = 13
2 years, 2 years, 9 years; Sum = 13
2 years, 3 years, 6 years; Sum = 11
3 years, 3 years, 4 years; Sum = 10
The reason for the friend `s confusion was that there are two age groups that have the same sum of the ages, i.e., 13. When he was told that the eldest son has blue eyes, he immediately ruled out the set of 1 year, 6 years and 6 years as in this case, the eldest children have the same age. Thus, only one possibility remained, i.e., the ages of the children are 2 years, 2 years and 9 years.
Therefore, the correct answer is C.