There are four three-digit n...
There are four three-digit numbers that share this property: the number itself, its double and its triple contain each digit from 1 to 9 exactly once. For example, 192 is one of them because 192, 384, 576 contain 1 to 9 each once. 273 is another one of them because 273, 546, 819 contain 1 to 9 each once. Can you find the other two numbers and calculate the product of these two numbers?
Earning His Stripes
A young reporter went to a retirement home to interview an aged but legendary explorer. The reporter asked the old man to tell him the most frightening experience he had ever had. The old explorer looked into the distance and warmed to his task.
“Once, I was hunting Bengal tigers in the jungles of India,” he began: “I was on a narrow path and my faithful native gun bearer was behind me. Suddenly, the largest tiger I’ve ever seen in my life leaped onto the path in front of us. I turned to get my weapon only to find my gun bearer had fled. The tiger leaped toward me with a mighty ROARRRR! I soiled myself."
“Under those circumstances, sir, I think anyone would have done the same," the reporter said.
The old explorer replied: "No, not then -– just now when I went 'ROARRRR!'”