Two MIT math graduates bump into each other at Fairway on
the upper west side. They hadn'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.. hmmmm.., 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?
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Answer Posted / dj
The Second grad specifies that - "Great! I got married and
I have three daughters NOW"
This means that the third daughter was recently born and
hence she will be less than a year - which we consider as 1.
So that leaves us with the two daughters whose ages
multiply to 72.
The factors of 72 are : 72&1, 36&2, 24&3, 18&4, 12&6, 8&9
Now if the MIT Grads left school around their twenties, it
means they are in their forties now. Which means that even
if they got married as soon as they graduated and had a
child, there would be a twenty yrs difference between the
father and the dughter. Hence &2&1, 36&2 are omitted.
Leaving us with 18&4, 12&6, 8&9.
Now they say the right age to start piano lessons is 12 so
that leaves us with 12&6. Hence the daughters are ages 12,
6 &1.
| Is This Answer Correct ? | 11 Yes | 58 No |
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