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"Wanderer" <wanderer@ticnet.com> wrote in message

news:111gbq8hoalf388@corp.supernews.com...

> For those not on the board (and since this excellent math student managed

> to miss the Lenny... grrr), here's how it shakes out:

>

> There were five friends, a Kacheek, a Tuskaninny, a Lenny, an Acara, and a

> Bori. The Tuskaninny's age was that of the Acara plus the Kacheek. The

> Bori

> was twice the Acara's age, or the same age as the Kacheek and the

> Tuskaninny

> put together. The Lenny's age was three times the average of all five of

> their ages.

>

> If the Acara is four months older than the Kacheek, how many months old is

> the Lenny?

>

> Using the first letters to save space...

>

> T=A+K

> B=2A

> 2A=K+T

> L=3((K+T+L+A+B)/5)

>

> Now you define all of the variables by their relation to K. You can't do

> this with L, naturally, since it's represented by an average.

>

> 2A=K+(A+K)

> 2A=2K+A

> 2A-A=2K+A-A

> A=2K

>

> B=2A

> B=2(2K)

> B=4K

>

> 2A=K+T

> 2(2K)=K+T

> 4K=K+T

> T=3K

>

> Now you have:

>

> Acara=2K

> Bori=4K

> Kacheek=K

> Tuskaninny=3K

>

> Now, the Lenny tells you the Acara is just four months older than the

> Kacheek.

>

> A=2K=K+4

>

> 2K=K+4

>

> K=4

>

> Therefore:

>

> Acara=8 months

> Bori=16 months

> Kacheek=4 months

> Tuskaninny=12 months

>

> Now, it's quite true this doesn't give you the Lenny's age directly.

> Returning to the problem, though, notice that the average is the sum

> divided by five. It is then multiplied by three. Therefore, the final

> product has both three and five as factors. I just plugged in 15s until I

> hit 60:

>

> L=3((8+16+4+12+L)/5)

> L=3((8+16+4+12+60)/5)

> L=3(100/5)

> L=3(20)

> L=60

>

> I missed the Lenny entirely, so I might as well show off here... since I

> have no chance of finding out about all the various chocolate items for

> the current one...

>

I told ya all pretty much the same thing some time ago. (just didn't

spell the whole thing out) And I _still_ despise algebraic word problems.

Balyn