document.write( "Question 257910: The sum of seven consecutive integers is 980. How many of them are prime? \n" ); document.write( "
Algebra.Com's Answer #189812 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! LET X, X+1, X+2, X+3, X+4, X+5, X+6 BE THE 7 CONSECUTIVE INTEGERS. \n" ); document.write( "X+X=1+X+2+X+3+X+4+X+5+X+6=980 \n" ); document.write( "7X+21=980 \n" ); document.write( "7X=980-21 \n" ); document.write( "7X=959 \n" ); document.write( "X=959/7 \n" ); document.write( "X=137 ANS. FOR THE FIRST INTEGER. PRIME \n" ); document.write( "137+1=138 ANS. \n" ); document.write( "137+2=139 ANS. PRIME. \n" ); document.write( "137+3=140 ANS. \n" ); document.write( "137+4=141 ANS. \n" ); document.write( "137+5=142 ANS. \n" ); document.write( "137+6=143 ANS. \n" ); document.write( "PROOF: \n" ); document.write( "137+138+139+140+141+142+143=980 \n" ); document.write( "980=980 \n" ); document.write( " |