document.write( "Question 1169157: Good day\r
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\n" ); document.write( "\n" ); document.write( "Herewith my question:\" Timothy is 8 years older then his sister, in 5 years from now she will be half Timothy's age. How old is timothy and his sister now? \"\r
\n" ); document.write( "\n" ); document.write( "By doing eliminations I know that Timothy's sister should be 3 years old because if she is 3 years old Timothy is 8 years older than her which makes him 11 years old. In 5 years time his sister will be 8 years old and Timothy will be 16 years old which is half of timothy's age.\r
\n" ); document.write( "\n" ); document.write( "My problem with the question is it counts for 6 marks and I have to give my answer as a equation that I worked out getting to the answer for their ages and I do not know where to start with the question since there are 2 unknown variables.\r
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Algebra.Com's Answer #793796 by ikleyn(52793)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Timothy is 8 years older then his sister, in 5 years from now she will be half Timothy's age. How old is timothy and his sister now?
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\n" ); document.write( "\n" ); document.write( "            This problem can be solved in several ways.\r
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\n" ); document.write( "\n" ); document.write( "            I will show you two different ways to solve.\r
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\n" ); document.write( "\n" ); document.write( "1.   Two unknowns and two equations\r
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document.write( "Let x be the Timothy's age, an let y be the sister's age.\r\n" );
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document.write( "Then from the condition, you have these two equations\r\n" );
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document.write( "    x = y + 8        (1)\r\n" );
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document.write( "    x+5 = 2*(y+5)    (2)\r\n" );
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document.write( "Substitute into equation (2) this expression for x of equation (1). You will get\r\n" );
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document.write( "    y + 8 = 2*(y+5)\r\n" );
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document.write( "Simplify and find y\r\n" );
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document.write( "    y + 8 + 5  = 2y + 10\r\n" );
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document.write( "    8 + 5 - 10 = 2y - y\r\n" );
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document.write( "        3      = y.\r\n" );
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document.write( "Thus the sister's age is 3 years.\r\n" );
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document.write( "From equation (1), then  x = 3 + 8 = 11 is the Tymothy's age.\r\n" );
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document.write( "ANSWER.  Tymothy is 11 years old;  the sister is 3 years old.\r\n" );
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\n" ); document.write( "\n" ); document.write( "2.   Mental solution in your head without using equations\r
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document.write( "In 5 years, two events will happen simultaneously:\r\n" );
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document.write( "    Timothy will be 8 yeras older and two times as old as the sister.\r\n" );
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document.write( "    Hence, they will be  8 and 16 years old then.\r\n" );
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document.write( "    It means that now they are  8-5 = 3  and  16-5 = 11 years old.\r\n" );
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document.write( "You get the same answer\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved two times to provide 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( "    - HOW TO algebreze and to solve age problems? \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( "    - Age problem for three participants \r
\n" ); document.write( "\n" ); document.write( "    - Miscellaneous age problems \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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