document.write( "Question 167392: if the average (arithmetic mean) of 5 consecutive integers is 12. what is sum of the least and greatest of the 5 integers ? \n" ); document.write( "
Algebra.Com's Answer #123290 by gonzo(654) ![]() You can put this solution on YOUR website! let x = first number. \n" ); document.write( "x+1 \n" ); document.write( "x+2 \n" ); document.write( "x+3 \n" ); document.write( "x+4 \n" ); document.write( "= the other 4 numbers. \n" ); document.write( "the average = sum of the total divided by 5. \n" ); document.write( "sum of the total is 5x + 10 \n" ); document.write( "(5x+10)/ 5 = (x+2) \n" ); document.write( "average is (x+2) \n" ); document.write( "----- \n" ); document.write( "x+2 = average = 12 \n" ); document.write( "subtract 2 from both sides of equation. \n" ); document.write( "x = 10 \n" ); document.write( "----- \n" ); document.write( "first number in series is x = 10 \n" ); document.write( "last number in series is x + 4 = 14. \n" ); document.write( "----- \n" ); document.write( "sum of 10 + 14 = 24. \n" ); document.write( "----- \n" ); document.write( "to prove answer is correct, substitute 10 for x \n" ); document.write( "x = 10 \n" ); document.write( "x+1 = 11 \n" ); document.write( "x+2 = 12 \n" ); document.write( "x+3 = 13 \n" ); document.write( "x+4 = 14 \n" ); document.write( "---- \n" ); document.write( "sum of 10+11+12+13+14 = 60 \n" ); document.write( "average = 60 / 5 = 12 \n" ); document.write( "smallest number is x = 10 \n" ); document.write( "largest number is x + 4 = 14 \n" ); document.write( "----- \n" ); document.write( "answer looks good. \n" ); document.write( "x = 10 \n" ); document.write( "x + 4 = 14 \n" ); document.write( "sum = 24 \n" ); document.write( "-----\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |