document.write( "Question 551027: The age of a man is 10 years more than three times his brother's age. Find the age of each if 5 years from now he will be 4 years more than twice his brother's age. \n" ); document.write( "
Algebra.Com's Answer #359434 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The age of a man is 10 years more than three times his brother's age. \n" ); document.write( " Find the age of each if 5 years from now he will be 4 years more than twice his brother's age. \n" ); document.write( ": \n" ); document.write( "Let m = man's present age \n" ); document.write( "Let b = brother's present age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement. \n" ); document.write( ": \n" ); document.write( "\"The age of a man is 10 years more than three times his brother's age.\" \n" ); document.write( "m = 3b + 10 \n" ); document.write( ": \n" ); document.write( "\"5 years from now he will be 4 years more than twice his brother's age.\" \n" ); document.write( "m + 5 = 2(b+5) + 4 \n" ); document.write( "m + 5 = 2b + 10 + 4 \n" ); document.write( "m = 2b + 14 - 5 \n" ); document.write( "m = 2b + 9 \n" ); document.write( "From the 1st equation, replace m with (3b+10) \n" ); document.write( "3b + 10 = 2b + 9 \n" ); document.write( "3b - 2b = 9 - 10 \n" ); document.write( "b = -1, obviously, this is a nonsense problem \n" ); document.write( ": \n" ); document.write( "m = 3(-1) + 10 \n" ); document.write( "man 7 yrs old, brother is -1 (Won't be born for a year, I guess) \n" ); document.write( " |