document.write( "Question 118343: A wealthy old man is criticized for marrying a woman for he is three times her age. He wittily replies, \"Oh, but in 20 years time 2 shall only be twice her age.\" How old is the man and his wife? \n" ); document.write( "
Algebra.Com's Answer #86462 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A wealthy old man is criticized for marrying a woman for he is three times her age. He wittily replies, \"Oh, but in 20 years time I shall only be twice her age.\" How old is the man and his wife? \n" ); document.write( ": \n" ); document.write( "Let m = old man's age \n" ); document.write( "Let g = girl's age \n" ); document.write( ": \n" ); document.write( "\"he is three times her age.\" \n" ); document.write( "m = 3g \n" ); document.write( ": \n" ); document.write( "\"In 20 years time I shall only be twice her age.\" \n" ); document.write( "(m+20) = 2(g+20) \n" ); document.write( "m + 20 = 2g + 40 \n" ); document.write( "m = 2g + 40 - 20 \n" ); document.write( "m = 2g + 20 \n" ); document.write( ": \n" ); document.write( "\"How old are they?\" \n" ); document.write( "Substitute 3g for m, find g \n" ); document.write( "3g = 2g + 20 \n" ); document.write( "3g - 2g = 20 \n" ); document.write( "g = 20 yrs is the girls age \n" ); document.write( "60 yrs is the old fart's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: in 20 yrs he will be 80 and she will be 40 \n" ); document.write( " \n" ); document.write( " |