Manish was on his way to an interview. On the way, he encountered his long lost cousin, Vijay, whom he hadn't met in more than a decade. They started catching up on lost time. Manish learned that Vijay had 3 sons. When he asked about their ages, Vijay replied, "You're going for an interview, right? Consider this a trial question. Figure out their ages from this: The product of the ages of my three sons is 36." To this, Manish grumbled that he needed more information. Vijay, then, pointed to a sign board across the street that displayed the address of the area and said that the sum of the ages of his three children was equal to the last two digits of the pin code of that area. Yet, Manish demanded more information. Finally, Vijay said, "My eldest son wore a black shirt today. This is all I can tell you." What were the ages of the three children? Provide a detailed explanation for your answer.
Thursday, February 5, 2009
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2 comments:
the answer is 2,3,6.because the factors of 36 are 1,2,3,6,9,4.now we need to have three numbers wen multiplied gives 36.so through trail and error we get 2,3,6
the answer is 9 2 2.
Explanation:
The product is 36 hence the possible combinations are:
4 3 3
6 3 2
6 6 1
9 2 2
9 4 1
12 3 1
18 2 1
36 1 1
now sum is the last 2 digits of the pin
4+3+3=10
6+3+2=11
6+6+1=13
9+2+2=13
9+4+1=14
12+3+1=16
18+2+1=21
36+1+1=38
Now had it been anything other than 13, Manish would have given the answer straight away and as the number 13 appeared 2 times he asked for more information which saya "My eldest son wore a black shirt today"
so for 13 there are 2 combinations
6,6,1 and 9,2,2..but since the son is ELDEST the answer is 9,2,2
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