Manish was on his way to an interview. On the way, he encountered his long lost cousin, Vinay, whom he hadn’t met in more than a decade. They started catching up on lost time. Manish learned that Vinay had 3 sons. When he asked about their ages, Vinay 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. Vinay, 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, Vinay said, “My eldest son wore a black shirt today. This is all I can tell you.” What were the ages of the three children?

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Comments

The ages are 4, 3, and 3.

Each clue gives a piece of necessary information. Let the ages of the children (from oldest to youngest) be represented by A, B, and C.

(1) A*B*C = 36

(2) A + B + C >= 10 (because the three ages added together creates a two-digit number)

(3) A > B, A > C (because he has an “eldest son.”)

The ages 4, 3, and 3 satisfy the answer.

4*3*3 = 36

4 + 3 + 3 = 10

4 > 3, 4 < 3

(I used trial and error at the end, but I'm sure someone smarter than me could have solved it in totality with algebra… oh well.)

Abby,

Thanks for ur effort.. but as with ur logic many answers apply.. (6,3,2) , (9,2,2) , (9,4,1) , (12,3,1) satisfies ur criteria.. so how are u going to prove that these are not a valid answers with this info.. 🙂 try ur best.. i am glad to help u..