document.write( "Question 198528: A man being asked his age replied: \"If you take one year from my present age, the result will be three times my son's now, and three years ago, my age was twice what his will be in 5 years.\" Find the present age of the man. \n" ); document.write( "
Algebra.Com's Answer #149070 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! \"If you take one year from my present age, the result will be three times my \n" ); document.write( " son's now, and three years ago, my age was twice what his will be in 5 years.\" \n" ); document.write( " Find the present age of the man. \n" ); document.write( ": \n" ); document.write( "Let m = present age of the man \n" ); document.write( "let s = present age of the son \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "\"If you take one year from my present age, the result will be three times my son's now,\" \n" ); document.write( "m - 1 = 3s \n" ); document.write( "m = 3s + 1 \n" ); document.write( ": \n" ); document.write( ":\"three years ago, my age was twice what his will be in 5 years.\" \n" ); document.write( "m - 3 = 2(s + 5) \n" ); document.write( "m - 3 = 2s + 10 \n" ); document.write( "m = 2s + 10 + 3 \n" ); document.write( "m = 2s + 13 \n" ); document.write( ": \n" ); document.write( "From the 1st statement: substitute (3s+1) for m \n" ); document.write( "3s + 1 = 2s + 13 \n" ); document.write( "3s - 2s = 13 - 1 \n" ); document.write( "s = 12 yrs is son's present age \n" ); document.write( "then \n" ); document.write( "m = 3(12) + 1 \n" ); document.write( "m = 37 yrs is man's present age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the statement:\r \n" ); document.write( "\n" ); document.write( ":\"three years ago, my age was twice what his will be in 5 years.\" \n" ); document.write( "37-3 = 2(12+5)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |