document.write( "Question 1158062: Six years ago, Joe Foster was two years more than five times as old as his daughter. Six years from now,
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document.write( "he will be 11 years more than twice as old as she will be. How old is Joe?
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Algebra.Com's Answer #780994 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let j = Joe's present age \n" ); document.write( "let d = daughter's \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "Six years ago, Joe Foster was two years more than five times as old as his daughter. \n" ); document.write( "j - 6 = 5(d-6) + 2 \n" ); document.write( "j - 6 = 5d - 30 + 2 \n" ); document.write( "j = 5d - 28 + 6 \n" ); document.write( "j = 5d - 22 \n" ); document.write( " Six years from now, he will be 11 years more than twice as old as she will be. \n" ); document.write( "j + 6 = 2(d+6) + 11 \n" ); document.write( "j + 6 = 2d + 12 + 11 \n" ); document.write( "j = 2d + 23 - 6 \n" ); document.write( "j = 2d + 17 \n" ); document.write( "Replace j with (5d-22) from the 1st statement \n" ); document.write( "5d - 22 = 2d + 17 \n" ); document.write( "5d - 2d = 17 + 22 \n" ); document.write( "3d = 39 \n" ); document.write( "d = 39/3 \n" ); document.write( "d = 13 yrs is the daughter's age \n" ); document.write( "Find j \n" ); document.write( "j = 5(13) - 22 \n" ); document.write( "j = 65 - 22 \n" ); document.write( "j = 43 is Joe's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if this checks out in the statement \n" ); document.write( "\"Six years ago, Joe Foster was two years more than five times as old as his daughter.\" \n" ); document.write( "43 - 6 = 5(13 - 6) + 2 \n" ); document.write( "37 = 5(7) + 2 \n" ); document.write( " |