1979 AHSME Problems/Problem 5

Problem 5

Find the sum of the digits of the largest even three digit number (in base ten representation) which is not changed when its units and hundreds digits are interchanged.

$\textbf{(A) }22\qquad \textbf{(B) }23\qquad \textbf{(C) }24\qquad \textbf{(D) }25\qquad \textbf{(E) }26$

Solution

Solution by e_power_pi_times_i

Since the number doesn't change when the units and hundreds digits are switched, the number must be of the form $aba$ . We want to create the largest even $3$ -digit number, so $a = 8$ and $b = 9$ . The sum of the digits is $8+9+8 = \boxed{\textbf{(D) } 25}$ .

1979 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 4	Followed by Problem 6
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1979 AHSME Problems/Problem 5

Problem 5

Solution

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