document.write( "Question 1113162: Twenty-two years ago Jake was twice older than Tom. Three times Tom's age now is 16 more than twice Jake's age now. How old were they 22 years ago? \n" ); document.write( "
Algebra.Com's Answer #728188 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let j = Jake's present age \n" ); document.write( "let t = Tom's \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "Twenty-two years ago Jake was twice older than Tom. \n" ); document.write( "j-22 = 2(t-22) \n" ); document.write( "j - 22 = 2t - 44 \n" ); document.write( "j = 2t - 44 + 22 \n" ); document.write( "j = 2t - 22 \n" ); document.write( " Three times Tom's age now is 16 more than twice Jake's age now. \n" ); document.write( "3t = 2j+16 \n" ); document.write( "replace j with (2t-22) \n" ); document.write( "3t = 2(2t-22) + 16 \n" ); document.write( "3t = 4t - 44 + 16 \n" ); document.write( "3t = 4t - 28 \n" ); document.write( "28 = 4t - 3t \n" ); document.write( "t = 28 yrs is Tom's age \n" ); document.write( "then \n" ); document.write( "j = 2(28)- 22 \n" ); document.write( "j = 56 - 22 \n" ); document.write( "j = 34 yrs is Jake's age \n" ); document.write( ": \n" ); document.write( " How old were they 22 years ago? \n" ); document.write( "t: 28 - 22 = 6 yrs was Tom \n" ); document.write( "j: 34 - 22 = 12 yrs was Jake \n" ); document.write( " |