[Home] [Up] [Archimedes' problem] [Incredible mathematic game]
 

Press the picture to play game.
There are black, white, yellow and spotted cattle, male more than female.

White male = ( 1/2 + 1/3 ) Black male + Yellow male.

Black male = ( 1/4 + 1/5 ) Spotted male + Yellow male.

Spotted male = (1/6 + 1/7 ) White male + Yellow male.

White female = ( 1/3 + 1/4 ) Black cattle.

Black female = (1/4 + 1/5 ) Spotted cattle.

Spotted female = ( 1/5 + 1/6 ) Yellow cattle.

Yellow female = ( 1/6 + 1/7 ) White cattle.

White male + Black male = A square number.

Spotted male + Yellow male = A triangular number.

How many cattle are there?

LAWS' "EASY PROBLEM"
( http://education.hitechemall.com/science/mathgame.htm )

100 times of a natural number minus the natural number itself, then the difference multiply by 174603, the product is :
7 ? 9 6 3 ? 9 2 ? ? 3 6 ? 9 7 6 8 or 7 a 9 6 3 b 9 2 c d 3 6 e 9 7 6 8 . ( 5 digits are missing or hidden )
Another natural number multiply by 3123300 and the number formed by a b c d e in order respectively. 
Add the two products up and the sum is:
1 8 ? 9 8 3 ? 9 6 ? 2 ? 5 ? 3 5 6 . ( 5 digits are missing or hidden ) 
What are these two natural numbers?