Difference between revisions of "1990 AJHSME Problems/Problem 10"

Revision as of 16:41, 31 July 2019

1990 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 9	Followed by Problem 11
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All AJHSME/AMC 8 Problems and Solutions

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-==Solution==
-Looking at the positions of the letters, we see that if the date behind <math>\text{Q}</math> is <math>q</math>, then the date behind <math>\textbf{A}</math> is <math>q-6</math> and the date behind <math>\textbf{B}</math> is <math>q+6</math>. Thus, their sum is <math>2q</math>.
-The date behind <math>\text{C}</math> is <math>q-7</math>, so the desired letter is the one for which the date behind it is <math>2q-(q-7)=q+7</math>. This is letter <math>\text{P}\rightarrow \boxed{\text{A}}</math>.
 ==See Also==