How old are these oak trees?

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biju
Posts: 204
Joined: Mon Dec 04, 2006 8:12 pm

How old are these oak trees?

Post by biju » Fri Dec 04, 2009 4:36 pm

This is not a trick question, just a good puzzle...

Three grand oak trees stood in a row along a stream. They were of different ages.

The sum of their ages was exactly one thousand years.
When the youngest tree reaches the current age of the middle tree, the middle tree would be the current age of the oldest tree and four times the current age of the youngest tree.

From this information, determine the age of the trees...
BIJU JOSE

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siby
Posts: 333
Joined: Sat Oct 21, 2006 11:30 pm

Re: How old are these oak trees?

Post by siby » Sat Dec 05, 2009 3:25 am

from the description, ages of the trees assumed to be a, b and c respectively in ascending order
It is given that:
a+b+c = 1000
b-a = c-b


So
c=b+(b-a)

a+b+b+(b-a) = 1000
Hence 3b=1000
and so
b=333.33

It is also given that c=4a
hence a+b+4a=1000
a=(1000-b)/5 =666.67/5=133.33
c then has to be 533.33.
thus the trees are 133, 333 and 533years old (Provided I understood the question, correct me if I am wrong)
Siby

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biju
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Re: How old are these oak trees?

Post by biju » Sat Dec 05, 2009 6:13 pm

You got it, mate. Well done
BIJU JOSE

kannanvaidyanathan
Posts: 119
Joined: Sun Oct 22, 2006 1:24 pm

Re: How old are these oak trees?

Post by kannanvaidyanathan » Sun Dec 06, 2009 3:27 pm

I understood - a+b-c x d - c + b - a / c x abcd = answer. second option -Take the next oak tree hit it in the middle and count the rings to get the answer. that s what mbbs did to me.

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