document.write( "Question 890537: one seventh of the sum of 2 numbers is 6, and 4 times their difference is 64. find these numbers \n" ); document.write( "
Algebra.Com's Answer #539055 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! one seventh of the sum of 2 numbers is 6, and 4 times their difference is 64. find these numbers \n" ); document.write( ": \n" ); document.write( "let the two numbers be a & b \n" ); document.write( "Write an equation for each statement, simplify as much as possible. \n" ); document.write( ": \n" ); document.write( "\"one seventh of the sum of 2 numbers is 6,\" \n" ); document.write( " \n" ); document.write( "multiply both sides by 7 \n" ); document.write( " a + b = 42 \n" ); document.write( ": \n" ); document.write( "\"and 4 times their difference is 64.\" \n" ); document.write( "4(a-b) = 64 \n" ); document.write( "divide both sides by 4 \n" ); document.write( " a - b = 16 \n" ); document.write( ": \n" ); document.write( "Add the two simplified equations \n" ); document.write( "a + b = 42 \n" ); document.write( "a - b = 16 \n" ); document.write( "-------------adding eliminates b, find a \n" ); document.write( "2a = 58 \n" ); document.write( "a = 58/2 \n" ); document.write( "a = 29 \n" ); document.write( "Find b \n" ); document.write( "29 + b = 42 \n" ); document.write( "b = 42 - 29 \n" ); document.write( "b = 13 \n" ); document.write( ": \n" ); document.write( "these two numbers: 29 and 13 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this in the 2nd statement \n" ); document.write( "4(29-13) = 64 \n" ); document.write( "4(16) = 64 \n" ); document.write( " |