document.write( "Question 506579: How to find ten consecutive even integers that sum to 70 and have a product of 0. Determine the product of the largest and smallest even integers in this set. Explain how did I get the answer and show work. \n" ); document.write( "

Algebra.Com's Answer #340199 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
How to find ten consecutive even integers that sum to 70 and have a product of 0. Determine the product of the largest and smallest even integers in this set. Explain how did I get the answer and show work.
\n" ); document.write( ":
\n" ); document.write( "The sum of 10 consecutive even integers, x, (x+2), (x+4), (x+6) etc
\n" ); document.write( "10x + 90 = 70
\n" ); document.write( "10x = 70 - 90
\n" ); document.write( "10x = -20
\n" ); document.write( "x = -2
\n" ); document.write( ":
\n" ); document.write( "-2*0*2*4*6*8*10*12*14*16 = 0, with a zero in there the product will always be 0
\n" ); document.write( ":
\n" ); document.write( "Product of the smallest and largest: -2 * 16 = -32 \n" ); document.write( "

\n" );