2016 AMC 8 Problem 11
Attempt Problem 11 of the 2016 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2016 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
11.
Determine how many two-digit numbers satisfy the following property:
When the number is added to the number obtained by reversing its digits, the sum is
Answer: B
Small hint:
Write the two-digit number as .
Big hint:
Adding the reversed number gives .
Video solution:
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Written solution:
Let be the tens digit and the units digit. Adding the number and its reversal gives so . The valid digit pairs are giving numbers.
Thus, B is the correct answer.
Problem 11 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
- 2002 AMC 8
- 2003 AMC 8
- 2004 AMC 8
- 2005 AMC 8
- 2006 AMC 8
- 2007 AMC 8
- 2008 AMC 8
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- 2012 AMC 8
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