document.write( "Question 810967: Ten yrs ago, the age of father was 33, his present age is 5 more than his wife's age; their son's age is half of his mother, the sum of their ages now os 120. Give the age of each of them \n" ); document.write( "
Algebra.Com's Answer #488650 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let f = father's present age \n" ); document.write( "let w = wife's age \n" ); document.write( "let s = son's age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "\"Ten yrs ago, the age of father was 33, \n" ); document.write( "f = 33 + 10 \n" ); document.write( "f = 43 \n" ); document.write( ": \n" ); document.write( "\" his present age is 5 more than his wife's age;\" \n" ); document.write( "f = w + 5 \n" ); document.write( ": \n" ); document.write( "\" their son's age is half of his mother,\" \n" ); document.write( "s = .5w \n" ); document.write( ": \n" ); document.write( "\"the sum of their ages now is 120.\" \n" ); document.write( "f + w + s = 120 \n" ); document.write( "Replace f with (w+5), replace s with .5w \n" ); document.write( "(w+5) + w + .5w = 120 \n" ); document.write( "2.5w = 120 - 5 \n" ); document.write( "2.5w = 115 \n" ); document.write( "w = 115/2.5 \n" ); document.write( "w = 46 yrs is the wife's age \n" ); document.write( "then \n" ); document.write( ".5(46) = 23 yrs is the son's age \n" ); document.write( "and \n" ); document.write( "46 + 5 = 51 yrs is the father's age \n" ); document.write( "; \n" ); document.write( "All this was done ignoring the 1st statement which contradicts all this\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |