Please hurt your brain and think of a math problem

Pure milk is abundant. Step by step.

The first time I drank 1 2 pure milk. Add water.

The second time I drink it, the ratio of milk to water is exactly half and half. Drink 1 3, then milk drink 1 6, water drink 1 6. 1 3 milk remaining, 1 3 water.

The third time I drank it, it was a cup with 1 3 milk, 2 3 water. Drink it up.

The total milk is 1 (1 2 + 1 6 + 1 3) and water is 5 6 (1 6 + 2 3).

That's why you drink a lot of pure milk.

Satoshi drinks milk: one cup.

Xiao Cong drank water: He added water twice, the first time he added 1 2 cups of water, the second time he added 1 3 cups of water, and finally drank it all regardless of 3721 So, he drank a total of 1 2 + 1 3 5 6 cups of water.

Because 1 is greater than 5 6, he drinks more milk

This kind of problem should be considered as a whole, no matter how much he drinks halfway, and in the end he finishes drinking, you can just count how much water he added, and calculate it).

Lots of milk. There is only one cup of milk in total, and the water that is drunk is 1 2 cups added the first time and 1 3 cups added the second time - a total of 5 6 cups.

There is a lot of hot water, just as much after adding water for the first time, and adding water again, you don't need to count it to know that there is more water.

First of all, drink all 1 glass of milk.

But only 1 2 + 1 3 5 6<1 was added

So drink more milk.

They are 16, 32 and 64. That's how it is calculated, 1 + 2 + 4 = 162,.

According to the auxiliary line in the graph, Feynman's three small (Ross's theorem) is formed, which is 1 7 of the whole triangle area, and if the area of the small triangle is 1, then the area of the Feynman triangle is 3, and the total triangle area is 21, then the area of each block is shown in the figure, then the area ratio is 8

Thirteen Rabbits A rabbit has four legs, and thirteen rabbits are fifty-two legs and thirteen heads.

Ten chickens have two legs, and ten chickens are twenty legs and ten heads. It adds up to twenty-three heads and seventy-two legs.

If there are x chickens and y rabbits, then x y are natural numbers, as can be seen from the question:

x+y=23, and.

2x+4y=72

So x=10 y=13

So there are 10 chickens and 13 rabbits.

13 rabbits and 10 chickens (It seems that it probably doesn't hurt the brain.。。。

Three unknowns and three relations should be solvable. Let the three circles be x y z

2x+2y+2z=34

3x=2z3y=x

Now find the value of y.

Set: weight x grams, = 3x grams, = grams.

Yields: 2*(x+3x+.)

Solve x = 2 grams.

Namely: weighs 2 grams.