document.write( "Question 154831: If Martin was four times as old as Gary 8 years ago and if Martin will be twice as old as Gary 8 years hence, find their ages. \n" ); document.write( "
Algebra.Com's Answer #113992 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let m - Martin's age now; Let g = Gary's age now \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( "\"If Martin was four times as old as Gary 8 years ago\" \n" ); document.write( "(m-8) = 4(g-8) \n" ); document.write( "m - 8 = 4g - 32 \n" ); document.write( "m - 4g = -32 + 8 \n" ); document.write( "m - 4g = -24 \n" ); document.write( ": \n" ); document.write( "\" and if Martin will be twice as old as Gary 8 years hence,\" \n" ); document.write( "(m+8) = 2(g+8) \n" ); document.write( "m + 8 = 2g + 16 \n" ); document.write( "m - 2g = 16 - 8 \n" ); document.write( "m - 2g = 8 \n" ); document.write( ": \n" ); document.write( "Subtract the 1st equation from the above equation: \n" ); document.write( "m - 2g = 8 \n" ); document.write( "m - 4g = -24 \n" ); document.write( "--------------subtraction eliminates m \n" ); document.write( "0 + 2g = +32 \n" ); document.write( "g = \n" ); document.write( "g = 16 yrs Gary's age now \n" ); document.write( ": \n" ); document.write( "Use the equation; m - 2g = 8 to find m \n" ); document.write( "m - 2(16) = 8 \n" ); document.write( "m - 32 = 8 \n" ); document.write( "m = 8 + 32 \n" ); document.write( "m = 40 yrs is Martin's age now \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "\"If Martin was four times as old as Gary 8 years ago and if Martin will be twice as old as Gary 8 years hence, find their ages.\" \n" ); document.write( "40 - 8 = 4(16-8) \n" ); document.write( "and \n" ); document.write( "40 + 8 = 2(16+8)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |