An officer wishing to arrange his men in a solid square found by his first arrangement that he had 39 men left over.

Math Riddle:  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?

Answer: The correct answer is the officer had 1975 men.

When he formed a square measuring 44 by 44, he had 39 men over. When he tried to form a square 45 x 45, he was 50 men short.

Lazy Larry agreed to work on a job for his brother-in-law for thirty hours at eight dollars an hour

Math Riddle:  Lazy Larry agreed to work on a job for his brother-in-law for thirty hours at eight dollars an hour, on the condition that he would forfeit ten dollars per hour for every hour that he idled. At the end of the thirty hours, Larry wasn’t owed any money and didn’t owe his brother-in-law any money either. How many hours did Larry work and how many hours did he idle?

Answer: The correct answer is Lazy Larry worked 16-2/3 hours and idled 13-1/3 hours.

16-2/3 hours, at $8.00 an hour amounts to the same amount as 13-1/3 hours at $10.00 per hour.

A man had a bar of lead that weighed 40 lbs., and he divided it into four pieces in such a way as to allow him to weigh any number of pounds from one to forty

Math Riddle:  A man had a bar of lead that weighed 40 lbs., and he divided it into four pieces in such a way as to allow him to weigh any number of pounds from one to forty. What are the weights of the four pieces?

Answer: The correct answer is 1, 3, 9, 27, are the weights of the four pieces.

Given two 2s, “plus” can be changed to “times” without changing the results: 2 + 2= 2 x 2.

Math Riddle:  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.

Now find the answer for 4 numbers and for 5 numbers.

Answer: The correct answer is below.

Solution for 4 numbers:

1 + 1 + 2 + 4= 1 x 1 x 2 x 4.

Solution for 5 numbers:

1 + 1 + 1 + 2 + 5= 1 x 1 x 1 x 2 x 4

1 + 1 + 1 + 3 + 3= 1 x 1 x 1 x 2 x 4

1 + 1 +2 + 2 + 2= 1 x 1 x 2 x 2 x 2