document.write( "Question 1123149: Ted is 12 years older than Juan. Next year ted will be 3 times as old as Juan. How old is Juan? \n" ); document.write( "

Algebra.Com's Answer #739411 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "T = J + 12         (1)       (\"Ted is 12 years older than Juan.\")\r\n" );
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document.write( "T + 1 = 3*(J+1)    (2)       (\"Next year ted will be 3 times as old as Juan.\")\r\n" );
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document.write( "From eq(1), substitute the expression for T into eq(2), replacing T. You will get\r\n" );
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document.write( "(J + 12) + 1 = 3*(J+1),\r\n" );
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document.write( "J + 13 = 3J + 3\r\n" );
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document.write( "13 - 3 = 3J - J\r\n" );
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document.write( "10 = 2J   ====>  J = 10/2 = 5.\r\n" );
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document.write( "Answer.  Juan is 5 years old.\r\n" );
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document.write( "Check.  Ted is 5+12 = 17 years old.\r\n" );
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document.write( "        Next year  Juan will be 6 years old;  Ted will be 18 years old, i.e. three times Juan's age then.\r\n" );
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document.write( "        ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Logic solution\r
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document.write( "Next your Ted will be 3 times Juan's age and 12 years older than Juan.\r\n" );
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document.write( "Hence (apply your logic skills !),  Tedd will be 18, while Juan will be 6.\r\n" );
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document.write( "It means that Juan is 5 years old now, while Ted is 17 years old.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved by two different ways giving the same result.\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 problem\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( "in this site.\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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