document.write( "Question 1190791: Split 69 into three parts such that they are in A. P. and the product of the two smaller parts is 483 \n" ); document.write( "

Algebra.Com's Answer #822504 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Given three terms in AP with a sum of 69, we know the middle term is 69/3=23. Then if d is the common difference, the other two numbers are 23-d and 23+d.

\n" ); document.write( "The product of the two smaller parts is 483:

\n" ); document.write( " $\"23%2823-d%29=483\"$
\n" ); document.write( " $\"529-23d=483\"$
\n" ); document.write( " $\"23d=46\"$
\n" ); document.write( " $\"d=2\"$

\n" ); document.write( "The middle term is 23, and the common difference is 2, so

\n" ); document.write( "ANSWER: 21, 23, and 25

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