Puzzle of the day 03/09/13

“I have three sons,” Tony told his friend, Peter. “How old are they?” Peter asked. “I will make this a math problem for you to figure out,” Tony said. “Go ahead,” Peter responded. “The product of their ages is 36,” Tony said. “You need to tell me more,” Peter requested. “The sum of their ages is equal to the number of that house you see right across the street,” Tony stated. Peter recorded the number of the house and started working on the problem. A little bit later, he said, “I can't be exactly sure about your sons' ages. You need to provide me one more hint.” “Okay,” Tony responded, “my oldest son is 4.5 feet tall.” With this hint, Peter was able to figure out the exact ages of Tony's sons. What were the ages of Tony's sons?

4 Answers

865
Soumyadeep Basu ·

9, 2, 2.

1357
Manish Shankar ·

good work Soumyadeep

591
Akshay Ginodia ·

Plz explain

  • Hamza-Ul-Huda 2*3*6 2*2*9 1*6*6 3*3*4 and many others but the last hint “my oldest son is 4.5 feet tall" obviously 9 years old boy would be around 4-5 feet tall .... so 9*2*2 ... is possible ..!!
  • Akshay Ginodia but 12,3,1 is also possible...a 12 year old boy can also obviously be 4-5 feet tall
  • Soumyadeep Basu Since Peter could not answer after the second clue, there must be more than one triplet with their product 36 and the same sum. The only such triplets are (9, 2, 2) and (6, 6, 1). As Tony has a eldest son(not sons) therefore (9, 2, 2) is the answer.
21
Hamza-Ul-Huda ·

2*3*6
2*2*9
1*6*6
3*3*4
and many others
but the last hint “my oldest son is 4.5 feet tall" obviously 9 years old boy would be around 4-5 feet tall .... so 9*2*2 ... is possible ..!!

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