document.write( "Question 1094637: three good friends are in the same algebra class. their scores on a recent test are three consecutive odd integers whose sum is 219. find each score \n" ); document.write( "

Algebra.Com's Answer #709221 by greenestamps(13203) $\"\"$ $\"About$

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Here is a good time saver for solving problems like this.

\n" ); document.write( "Since the scores are consecutive odd integers, the score in the middle is the average of the three scores.

\n" ); document.write( "In your problem you know the sum of the three scores is 219, so the average is 219/3 = 73. That means the middle score is 73, making the other two scores 71 and 75.

\n" ); document.write( "The lesson to be learned: in a sequence with an odd number of terms, often letting x be the middle number is a lot easier than letting x be the first number. \n" ); document.write( "

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