document.write( "Question 257749: Ann's age is seven tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of Bills age. How old is Bill? \n" ); document.write( "
Algebra.Com's Answer #189625 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let a = Ann's present age \n" ); document.write( "Let b = Bill's age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement. \n" ); document.write( ": \n" ); document.write( "\"Ann's age is seven tenths of Bill's age.\" \n" ); document.write( "a = .7b \n" ); document.write( ": \n" ); document.write( "\"In 4 years Ann's age will be eight-elevenths of Bills age.\" \n" ); document.write( "a + 4 = \n" ); document.write( "Multiply both sides by 11, get rid of the annoying denominator \n" ); document.write( "11(a + 4) = 8(b + 4) \n" ); document.write( "11a + 44 = 8b + 32 \n" ); document.write( "11a = 8b + 32 - 44 \n" ); document.write( "11a = 8b - 12 \n" ); document.write( "Replace a with .7b \n" ); document.write( "11(.7b) = 8b - 12 \n" ); document.write( "7.7b = 8b - 12 \n" ); document.write( "7.7b - 8b = -12 \n" ); document.write( "-.3b = -12 \n" ); document.write( "b = \n" ); document.write( "b = +40 yrs old is Bill \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: \n" ); document.write( "a = .7(40) \n" ); document.write( "a = 28 yrs \n" ); document.write( "\"In 4 years Ann's age will be eight-elevenths of Bills age.\" \n" ); document.write( "28 + 4 = \n" ); document.write( "32 = \n" ); document.write( "32 = 8 * 4 \n" ); document.write( " |