document.write( "Question 320178: This year, your brother Jack will be 2 years from being twice as old as your sister Jen. The sum of Jacks' age and three times Jen's age is 66. How old is Jen? \n" ); document.write( "
Algebra.Com's Answer #229406 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an equation for each statement: \n" ); document.write( "Ja = Jack's present age \n" ); document.write( "Je = Jen's present age \n" ); document.write( ": \n" ); document.write( "\"This year, your brother Jack will be 2 years from being twice as old as your sister Jen. \n" ); document.write( "Ja + 2 = 2(Je + 2) \n" ); document.write( "Ja + 2 = 2Je + 4 \n" ); document.write( "Ja = 2Je + 4 - 2 \n" ); document.write( "Ja = 2Je + 2 \n" ); document.write( ": \n" ); document.write( "\"The sum of Jacks' age and three times Jen's age is 66.\" \n" ); document.write( "Ja + 3Je = 66 \n" ); document.write( ": \n" ); document.write( "Replace Ja with (2Je+2); find Je \n" ); document.write( "(2Je + 2) + 3Je = 66 \n" ); document.write( "5Je = 66 - 4 \n" ); document.write( "Je = \n" ); document.write( "Je = 12.8 yrs is Jen's present age \n" ); document.write( "then \n" ); document.write( "Ja = 2(Je + 2) \n" ); document.write( "Ja = 2(12.8) + 2 \n" ); document.write( "Ja = 25.6 + 2 \n" ); document.write( "Ja = 27.6 yrs is Ja's present age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "\" Jack will be 2 years from being twice as old as your sister Jen.\" \n" ); document.write( "27.6 + 2 = 2(12.8 + 2) \n" ); document.write( "29.6 = 2(14.8) \n" ); document.write( "29.6 = 29.6 \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "\"The sum of Jacks' age and three times Jen's age is 66. \" \n" ); document.write( "27.6 + 3(12.8) = 66 \n" ); document.write( "27.6 + 38.4 = 66; confirms our solutions\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " How old is Jen? 12.8 \n" ); document.write( " |