document.write( "Question 1184989: When Fidel and Janette were married, his age was 3/2 of her age. If on their
\n" ); document.write( "golden wedding anniversary, Fidel’s age will be 8/7 of Janette’s age, how old will
\n" ); document.write( "each of them be on their golden anniversary?
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Algebra.Com's Answer #815718 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "When Fidel and Janette were married, his age was 3/2 of her age. If on their
\n" ); document.write( "golden wedding anniversary, Fidel’s age will be 8/7 of Janette’s age, how old will
\n" ); document.write( "each of them be on their golden anniversary?
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document.write( "Let x be the Janette age at the wedding year.\r\n" );
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document.write( "Then the Fidel's age was  \"%283%2F2%29%2Ax\" at this year.\r\n" );
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document.write( "On their golden wedding anniversary, the Janette age will be (x+50) years, while the Fidel's age will be \"%283%2F2%29%2Ax%2B+50\".\r\n" );
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document.write( "We have this equation then\r\n" );
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document.write( "    \"%283%2F2%29%2Ax%2B50\" = \"%288%2F7%29%2A%28x%2B50%29\".\r\n" );
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document.write( "To solve it, first multiply both sides by GCD of 14; then simplify\r\n" );
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document.write( "    3*7*x + 700 = 2*8*(x+50)\r\n" );
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document.write( "     21x  + 700 = 16x + 800\r\n" );
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document.write( "     21x - 16x  = 800 - 700\r\n" );
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document.write( "        5x      =    100\r\n" );
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document.write( "         x      =    100/5 = 20.\r\n" );
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document.write( "ANSWER.  At marriage, Janette was 20 years old;  Fidel was  \"%283%2F2%29%2A20\" = 30 years old.\r\n" );
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