"Now, then," thought Archie, who had been paying strict attention to all Arthur said, "I have got a basis for a calculation, and I am going to find out how old this new friend of ours is. War was declared against Algeria (not Algiers) in March, 1815; and on the 30th day of June, in the same year, the Dey cried for quarter, and signed a treaty of peace. If Arthur began his wanderings at eleven, and spent four years with Decatur, he must have been fifteen years old when the war closed. After that, he led the quiet life of a student until the Florida war broke out. That commenced in 1835; so Arthur must have spent just twenty years at school. By the way, it's a great pity that he didn't devote a portion of his time to geography and natural history, for then he would have known that there are no icebergs and polar bears in India, or Arabs and burning sands in Patagonia, or wild lions and tigers in Europe. If he spent twenty years at school, and was fifteen years old when he had those terrible battles with the Algerians, he must have been thirty-five years old when the Florida war broke out."

"Did you go through the war?" Johnny asked.

"I did."

"How long did it last?" inquired Frank, "and what was the cause of it?"

"It continued nearly two years, and was brought about by the hatred the Choctaws cherished toward the white people."

"Three mistakes there," thought Archie. "The war lasted seven years, and cost our Government forty millions of dollars. The Choctaws had nothing to do with it. It was the Seminoles and Creeks—principally the former. The immediate cause of the trouble was the attempt on the part of the Government to remove those tribes to the country west of the Mississippi. They didn't want to go, and they were determined they wouldn't; and, consequently, they got themselves decently whipped. If Arthur was thirty-five years of age when he went into the war, and spent two years in it, he was thirty-seven when he came out."

"After the war closed," continued Arthur, "I went to Patagonia, and there I spent five years."

"Thirty-seven and five are forty-two," said Archie, to himself.

"I had a great many thrilling adventures in Patagonia. The country is one immense desert, and being directly under the equator, it is—if you will for once allow me to use a slang expression—as hot as a frying-pan. The Arabs are hostile, and are more troublesome than ever the Indians were on the plains. From Patagonia I went to Europe, and there I spent six years in hunting lions and tigers."

"Forty-eight," thought Archie; "and Patagonia isn't under the equator, either."