翻译if an integer is three times as large as the sum of the figures in its digit

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• 翻译if an integer is three times as large as the sum of the figures in its digit
• 要用方程1 there is a double-digit number.The figure on its single is 1 larger than that on its tenth-digit ,and the double digit numbei is 5 times as large as the sum of figures on its tenth-digit and on its single-digit.Question:what is the double-digit number?2 there is a double-digit number.The figure on its tenth-digit is 1 smaller than that on its single digit.If the figures on its tenth-digit and on its single-digit are exchand,the newly-got number
• 英语翻译If we write out all the three-digit numbers with the sum of the figures on each digit equivalent to 10 ,and arrange them from great to small,then what is the tenth number in them?
• a double-digit number plus nine times of its ones is 100.what is sum of its figures on its digits.要结果
• a double-digit number plus nine times of its ones is 100.what is sum of its figures on its digits.
• 翻译if an integer is three times as large as the sum of the figures in its digit
• 英语翻译Ponder This Challenge:N lamps are set in a circle,and for each integer M you have a tool that can toggle the state (on/off) of any set of M consecutive lamps.Find a possible N which satisfies the following statements:The sum of its digits is less than 10.By applying the tool for M=105 several times,we can toggle a single lamp.If we remove one lamp and start from a random initial setting for the remaining N-1 lamps,the probability that there exists
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