# Toughest Age Question

Discussion in 'Undergraduate Math' started by divya bisht, Nov 7, 2011.

1. ### divya bishtGuest

Toughest Age Question
( Source : http://hardest-puzzle.blogspot.com/2011/11/toughest-age-question..html
)

Two old friends, Jack and Bill, meet after a long time.
Three kids
Jack: Hey, how are you man?
Bill: Not bad, got married and I have three kids now.
Jack: That’s awesome. How old are they?
Bill: The product of their ages is 72 and the sum of their ages is the
Jack: Cool… But I still don’t know.
Bill: My eldest kid just started taking piano lessons.
Jack: Oh now I get it.

How old are Bill’s kids?

divya bisht, Nov 7, 2011

2. ### Barb KnoxGuest

This is a thoroughly wretched problem. A date is *not* an integer. It
is a triple of integers (yyyy,mm,dd) or a pair of integers (yyyy,ddd).

I infer you mean for the "birth date" to not include the year, and for
dd/mm to be considered as a decimal integer by removing the slash, but
that still leaves fatal ambiguities:

* Is the 8th of January 8/01 or 8/1 ?
* What about the parts of the world where dates are conventionally
mm/dd ? Then that date would be 108 or 18.

--
---------------------------
| BBB b \ Barbara at LivingHistory stop co stop uk
| B B aa rrr b |
| BBB a a r bbb | Quidquid latine dictum sit,
| B B a a r b b | altum videtur.
| BBB aa a r bbb |
-----------------------------

Barb Knox, Nov 8, 2011

3. ### Country Boy

Joined:
Dec 15, 2021
Messages:
157
38
How Jack's birth date is written or even what it is irrelevant! A crucial point here is that we typically state peoples ages as integers- "7 years old", not "7 years and 3 months" or "7.25 years". 72= 8(9)= 2(2)(2)(3)(3). How many ways can we separate those into 3 different ages? I see only 2 different ways:
[2(2)], [2(3)], [3] or 3, 4, and 6.
[2(3)], [2(3)], [2] or 2, 6, and 6.

The point of "My eldest kid just started taking piano lessons." is that there IS an "eldest kid" which tells us that the three children's ages are 3, 4, and 6, not "2, 6, 6".

Country Boy, Dec 26, 2021