document.write( "Question 624118: A man is four yrs.older than his wife of 5 times as old as his son.when the son was born the age of the wife is 6/7 that of husband age.find the age of his wife \n" ); document.write( "
Algebra.Com's Answer #392565 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an equation for each phrase \n" ); document.write( ": \n" ); document.write( "\"A man is four yrs.older than his wife\" \n" ); document.write( "m = w+4 \n" ); document.write( ": \n" ); document.write( "\"5 times as old as his son.\" \n" ); document.write( "m = 5s \n" ); document.write( "replace m with w+4 \n" ); document.write( "5s = w+4 \n" ); document.write( "s = \n" ); document.write( ": \n" ); document.write( "\"when the son was born the age of the wife is 6/7 that of husband age.\" \n" ); document.write( "w - s = \n" ); document.write( "multiply both sides by 7 \n" ); document.write( "7(w-s) = 6(m-s) \n" ); document.write( "7w - 7s = 6m - 6s \n" ); document.write( "7w = 6m - 6s + 7s \n" ); document.write( "7w = 6m + s \n" ); document.write( "Replace m with (w+4) \n" ); document.write( "7w = 6(w+4) + s \n" ); document.write( "7w = 6w + 24 + s \n" ); document.write( "7w - 6w = s + 24 \n" ); document.write( "w = s + 24 \n" ); document.write( "replace s with \n" ); document.write( "w = ( \n" ); document.write( "multiply eq by 5 \n" ); document.write( "5w = w + 4 + 5(24) \n" ); document.write( "5w - w = 4 + 120 \n" ); document.write( "4w = 124 \n" ); document.write( "w = \n" ); document.write( "w = 31 yrs is wife's present age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this \n" ); document.write( "31 + 4 = 35 yrs is man's present age \n" ); document.write( "s = 35/5, (man is 5 times son's age) \n" ); document.write( "s = 7 yrs is son's present age \n" ); document.write( "Check solution in the statement, \n" ); document.write( "\"when the son was born the age of the wife is 6/7 that of husband age.\" \n" ); document.write( "31 - 7 = \n" ); document.write( "24 = \n" ); document.write( "24 = 6*4; confirms our solution of wife's age is 31\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |