document.write( "Question 1068186: The combined ages of Jane and her mother is 60. In 6 years Jane will be one-half her mother's age. How old are they now? \n" ); document.write( "
Algebra.Com's Answer #683409 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! j = Jane's present age \n" ); document.write( "m = Mom's age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "The combined ages of Jane and her mother is 60. \n" ); document.write( "J + M = 60 \n" ); document.write( "In 6 years Jane will be one-half her mother's age. \n" ); document.write( "J + 6 = \n" ); document.write( "multiply both sides by 2 \n" ); document.write( "2(J+6) = M + 6 \n" ); document.write( "2J + 12 = M + 6 \n" ); document.write( "2J - M = 6 - 12 \n" ); document.write( "2J - M - 6 \n" ); document.write( "Use elimination here, add to the first equation \n" ); document.write( "2J - M = -6 \n" ); document.write( " J + M = 60 \n" ); document.write( "-------------Addition eliminates M find J \n" ); document.write( "3J + 0 = 54 \n" ); document.write( "j = 54/3 \n" ); document.write( "J = 18 yrs is Jane's age \n" ); document.write( ": \n" ); document.write( "I'll let you find Mom's age \n" ); document.write( ": \n" ); document.write( "Check the solutions in the statement \n" ); document.write( "\"In 6 years Jane will be one-half her mother's age. \"\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " How old are they now? \n" ); document.write( " \n" ); document.write( " |