Yesterday I couldn't write. Today I hoped to write about basic geometric concepts. But today also I am very busy and I haven't enough time to write a long topic.

So we can have a small puzzle today. This is an ancient problem dating back to about 310 A.D.

Demochares had one-fourth of his life as a boy, one-fifth as a youth , one-third as a man, and has spent 13 years in his dotage. How old was Demochares?**Another problem of this kind:**

A stone weights one Kilogram and half of its weight. What is the actual weight of the stone?

Solutions:

First Question

Let x be Demochares's age.

Then, x/4+x/5+x/3+13=x

ie 47x/ 60+13=60

==>47x/60=47

==>x=60

So, Demochares was **60** years.

Second Question**2 kilogram**

Labels: Puzzles

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