One of the most popular features in the journal Mathematics Teacher, published by the National Council of Teachers of Mathematics, is the monthly calendar. It provides an interesting, unusual, or challenging problem for each day of the month. Some of these exercises, and others later in this text, are chosen from these calendars (the day, month, and year of publication of each problem are indicated). The authors want to thank the many contributors for permission to use these problems.
Use the various problem-solving strategies to solve each problem. In many cases there is more than one possible approach, so be creative.
Give Me a Digit Given a two-digit number, make a three-digit number by putting a 6 as the rightmost digit. Then add 6 to the resulting three-digit number and remove the rightmost digit to obtain another twodigit number. If the result is 76, what is the original two-digit number? (October 18, 2009)
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