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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?

Answer Posted / sushil


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

Is This Answer Correct ?    6 Yes 6 No



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