Math Riddles

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A bird has a head 9cm long. The tail is equal to the size of the head plus a half of the size of the body. The body is the size of the head plus the tail. How long is the bird?
7 2

Two wine merchants arrive at the gates of Paris. One has 64 and the other 20 barrels of wine. Since they have not enough money to pay the custom duties, the first pays 40 francs and 5 barrels of wine. The second pays 2 barrels of wine but receives 40 francs in change. What is the value of each barrel of wine and what is the duty payable?
1 0

How many pluses should we put between the digits of 987,654,321 to get a total of 99, and where?
1 0

Given two 2s, “plus” can be changed to “times” without changing the results: 2 + 2= 2 x 2. The solution with three numbers is easy too: 1 + 2 + 3= 1 x 2 x 3. What is the answer for 4 numbers and for 5 numbers?
2 0

An officer wishing to arrange his men in a solid square found by his first arrangement that he had 39 men left over. He then started increasing the number of men on a side by one, but found that 50 additional men would be needed to complete a new square. How many men did the officer have?
0 0

This number added to it’s square, and the digits of that summation added together, bring it back to itself. What is it?
1 0