document.write( "Question 1162530: A man is now 30yyears older than his daughter. 15 years ago, he twice as old as his daughter. What are the present ages of the man and his daughter? \n" ); document.write( "
Algebra.Com's Answer #786343 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            1.  Mental solution\r
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document.write( "Since it is given that the man is 30 years older than his daughter,\r\n" );
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document.write( "15 years ago he still was 30 years older than the daughter, \r\n" );
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document.write( "and, at the same time, was twice her age.\r\n" );
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document.write( "It means that 15 years ago the daughter was 30 years old, while the man was 60 years old.\r\n" );
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document.write( "Hence, now they are 45 and 75 years old.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "            2.  Algebra solution.\r
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document.write( "Let x be the daughter age; \r\n" );
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document.write( "then the man's age is  (x+30) years.\r\n" );
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document.write( "Fifteen years ago the daughter was (x-15) years old, while the man was (x+30)-15 = x+15 years old.\r\n" );
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document.write( "The condition says\r\n" );
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document.write( "    2*(x-15) = x + 15,   or\r\n" );
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document.write( "    2x - 30 = x + 15\r\n" );
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document.write( "    2x - x  = 15 + 30\r\n" );
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document.write( "     x      = 45  years for the daughter,\r\n" );
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document.write( "giving the same answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved   //   in two ways for your better understanding.\r
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\n" ); document.write( "\n" ); document.write( "There is a bunch of lessons on age word problems \r
\n" ); document.write( "\n" ); document.write( "    - Age problems and their solutions\r
\n" ); document.write( "\n" ); document.write( "    - A fresh formulation of a traditional age problem\r
\n" ); document.write( "\n" ); document.write( "    - Really intricate age word problems\r
\n" ); document.write( "\n" ); document.write( "    - Selected age word problems from the archive\r
\n" ); document.write( "\n" ); document.write( "    - Age problems for mental solution \r
\n" ); document.write( "\n" ); document.write( "    - Miscellaneous age problems \r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solving age problems.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Age word problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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