document.write( "Question 1122479: Phil is 28 years older than Tom. Six years ago the sum of their age was 36. How old are they now? \n" ); document.write( "

Algebra.Com's Answer #738637 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "From the condition, you have these two equations in 2 unknowns\r\n" );
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document.write( "P = T + 28              (1)\r\n" );
document.write( "(P-6) + (T-6) = 36.     (2)\r\n" );
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document.write( "Simplify eq(2) :\r\n" );
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document.write( "P + T = 36 + 6 + 6,   or\r\n" );
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document.write( "P + T = 48              (2')\r\n" );
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document.write( "From eq(1), substitute expression for P into eq(2'), replacing (excluding) P. You will get\r\n" );
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document.write( "(T + 28) + T = 48.\r\n" );
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document.write( "Simplify and solve for T:\r\n" );
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document.write( "2T = 48 - 28 = 20  ====>  T = 20/2 = 10.\r\n" );
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document.write( "Answer.  Tom is 10 years old.  Phil is 10 + 28 = 38 years old.\r\n" );
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document.write( "Check on your own that all conditions of the problem are satisfied.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\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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