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.

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