Another good puzzle

[pathankhan salman]

Daughters’ Ages

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?

Pathan Salman Khan | Senior Undergraduate | Computer Science and Engineering | IIT Bombay

[suryansh shrivastava]

ans  age--8,3,3

product 72 

age can be 9,4,2 / 6,6,2/ 3,3,8 / or 6,3,4

on telling the sum he could'nt tell

hence sum must be 14

achieved frm 6,6,2  and 3,3,8

but he tells than oldest "one" has started learning piano ,means there is only one oldest

therefore solution is 8,3,3

--
Suryansh Shrivastava

B.Tech Civil Engg. 

IIT B