document.write( "Question 1096882: Teresa is 6 years older than ann. In 4 years, the sum of their age will be 66. Find Teresa's present age. \n" ); document.write( "

Algebra.Com's Answer #711288 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Solution 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Directly from the condition, you have this system of 2 equations in 2 unknowns:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "T - A = 6             (1)    (\"Teresa is 6 years older than Ann.\")\r\n" );
document.write( "(T+4) + (A+4) = 66    (2)    (\"In 4 years\")\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify:\r\n" );
document.write( "\r\n" );
document.write( "T - A =  6,           (1')\r\n" );
document.write( "T + A = 58.           (2')\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add the equations 1') and (2')  (both sides).   You will get\r\n" );
document.write( "\r\n" );
document.write( "2T = 6+58 = 64  ====>  T =  = 32.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  Teresa is 32 years old.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solution 2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "A = T - 6,\r\n" );
document.write( "\r\n" );
document.write( "(T+4) + (A+4) = 66.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Replace A in the last equation by (T-6) based on the previous equation. You will get\r\n" );
document.write( "\r\n" );
document.write( "(T+4) + ((T-6)+4) = 66.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You have a single equation for unknown T. Simplify and solve for T.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "T + 4 + T - 6 + 4 = 66  ====>\r\n" );
document.write( "\r\n" );
document.write( "2T + 2 = 66  ====>  2T = 66-2 = 64  ====>  T =  = 32.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You got the same answer.\r\n" );
document.write( "

\r
\n" ); document.write( "\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solving age problems.\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Age word problems\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );