MathDB
Number base addition

Source: AMC 12B 2012 #11

February 24, 2012
AMC

Problem Statement

In the equation below, AA and BB are consecutive positive integers, and AA, BB, and A+BA+B represent number bases: 132A+43B=69A+B.132_A + 43_B = 69_{A+B.} What is A+BA + B?
<spanclass=′latex−bold′>(A)</span> 9<spanclass=′latex−bold′>(B)</span> 11<spanclass=′latex−bold′>(C)</span> 13<spanclass=′latex−bold′>(D)</span> 15<spanclass=′latex−bold′>(E)</span> 17 <span class='latex-bold'>(A)</span>\ 9\qquad<span class='latex-bold'>(B)</span>\ 11\qquad<span class='latex-bold'>(C)</span>\ 13\qquad<span class='latex-bold'>(D)</span>\ 15\qquad<span class='latex-bold'>(E)</span>\ 17
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