document.write( "Question 506566: Professor Haber’s wife is 6 years younger than her husband. One day after working on a mathematical formula, he remarked to her, “did you know, June that we’ve been married 22 years, and since our marriage our combined ages have exactly doubled?”
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document.write( "How old were they when they were married?
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Algebra.Com's Answer #340213 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Professor Haber’s wife is 6 years younger than her husband. \n" ); document.write( " One day after working on a mathematical formula, he remarked to her, “did you know, June that we’ve been married 22 years, and since our marriage our combined ages have exactly doubled?” \n" ); document.write( "How old were they when they were married? \n" ); document.write( ": \n" ); document.write( "Let h = Prof H's age \n" ); document.write( "let w = his wife's age \n" ); document.write( ": \n" ); document.write( "write an equation for each statement': \n" ); document.write( "\"Professor Haber’s wife is 6 years younger than her husband.\" \n" ); document.write( "w = h - 6 \n" ); document.write( ": \n" ); document.write( "\"we’ve been married 22 years, and since our marriage our combined ages have exactly doubled?” \n" ); document.write( "2[(w-22)+(h-22)] = (w + h) \n" ); document.write( "2(w+h-44) = w + h \n" ); document.write( "2w + 2h - 88 = w + h \n" ); document.write( "2w - w + 2h - h = 88 \n" ); document.write( "w + h = 88 \n" ); document.write( "Replace w with (h-6) \n" ); document.write( "h - 6 + h = 88 \n" ); document.write( "2h = 88 + 6 \n" ); document.write( "2h = 94 \n" ); document.write( "h = \n" ); document.write( "h = 47 yrs old is Prof H's age \n" ); document.write( "then \n" ); document.write( "47 - 6 = 41 yrs old is wife's age \n" ); document.write( "then \n" ); document.write( "47 - 22 = 25 yrs old when prof married \n" ); document.write( "and \n" ); document.write( "41 - 22 = 19 yrs when wife married \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "See if that works \n" ); document.write( "2(25+19) = 44 twice their sum at marriage \n" ); document.write( "47 + 41 = 88 present sum of their ages \n" ); document.write( " \n" ); document.write( " |