Daughter's Age VeryGood Puzzle - GoHired

Daughter's Age VeryGood Puzzle - GoHired

Hello folks,Today I am posting an Interview Puzzle which was asked to my friend in his Interview. This puzzle will be helpful in job interview preparation.

I have also posted many puzzles for interview before, you can read here :

1) 100 doors in a row Visit and Toggle the door. What state the door will be after nth pass ? 

2) 25 horses 5 tracks Find 3 fastest puzzle

3) N Petrol bunks or City arranged in circle. You have Fuel and distance between petrol bunks. Is it possible to find starting point so that we can travel all Petrol Bunks 

Presenting the Brain Teasers..

Two MIT math grads bump into each other at Fairway on the upper west side. They haven't seen each other in over 20 years.

the first grad says to the second: "how have you been?"
second: "great! i got married and i have three daughters now"
first: "really? how old are they?"
second: "well, the product of their ages is 72, and the sum of their ages is the same as the number on that building over there.."
first: "right, ok.. oh wait.. hmm, i still don't know"
second: "oh sorry, the oldest one just started to play the piano"
first: "wonderful! my oldest is the same age!"

problem: how old are the daughters?

Solution: start with what you know. you know there are 3 daughters whose ages multiply to 72. let's look at the possibilities…

Ages:            Sum of ages:
1 1 72            74
1 2 36            39
1 3 24            28
1 4 18            23
1 6 12            19
1 8 9             18
2 2 18            22
2 3 12            17
2 4 9             15
2 6 6             14
3 3 8             14
3 4 6             13

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