document.write( "Question 908184: The difference between the sum of four cinsecutive odd numbers and three consecutive even numbers is 20.Also,the largest even number is 5 more than the largest odd number.what is the sum of the smallest odd number and the smallest even number?\r
\n" );
document.write( "\n" );
document.write( "option
\n" );
document.write( "1.75
\n" );
document.write( "2.77
\n" );
document.write( "3.85
\n" );
document.write( "4.cannot be determined
\n" );
document.write( "5.none of these \n" );
document.write( "
Algebra.Com's Answer #551042 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let a = the 1st odd number \n" ); document.write( "let b = the 1st even number \n" ); document.write( ": \n" ); document.write( "\"The difference between the sum of four consecutive odd numbers and three consecutive even numbers is 20.\" \n" ); document.write( "(a+(a+2)+(a+4)+(a+6)) - (b+(b+2)+(b+4)) = 20 \n" ); document.write( "Combine like terms \n" ); document.write( "(4a+12) - (3b+6) = 20 \n" ); document.write( "remove bracket, minus changes the signs in the brackets \n" ); document.write( "4a + 12 - 3b - 6 = 20 \n" ); document.write( "4a - 3b + 6 = 20 \n" ); document.write( "4a - 3b = 20 - 6 \n" ); document.write( "4a - 3b = 14 \n" ); document.write( ": \n" ); document.write( "\"Also, the largest even number is 5 more than the largest odd number. \n" ); document.write( "(b+4) = (a+6) + 5 \n" ); document.write( "b + 4 = a + 11 \n" ); document.write( "b = a + 11 - 4 \n" ); document.write( "b = a + 7 \n" ); document.write( ": \n" ); document.write( "In the 1st simplified equation replace b with (a+7) \n" ); document.write( "4a - 3(a+7) = 14 \n" ); document.write( "4a - 3a - 21 = 14 \n" ); document.write( "a = 14 + 21 \n" ); document.write( "a = 35 is the 1st odd number \n" ); document.write( "and \n" ); document.write( "b = 35 + 7 \n" ); document.write( "b = 42 is the 1st even number \n" ); document.write( ": \n" ); document.write( "\"what is the sum of the smallest odd number and the smallest even number? \n" ); document.write( "35 + 42 = 77 \n" ); document.write( " |