document.write( "Question 973010: Hi,\r
\n" ); document.write( "\n" ); document.write( "I have been trying to solve a word problem, here it is:\r
\n" ); document.write( "\n" ); document.write( "Three years ago, Evan was one third of his sister's age. In a year's time, Evan's age doubled will match his sister's age. How old is Evan now?\r
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\n" ); document.write( "\n" ); document.write( "I know that I need to turn the problem into an equation and then solve, but I can not figure out how to turn the problem into an equation\r
\n" ); document.write( "\n" ); document.write( "Thanks \n" ); document.write( "

Algebra.Com's Answer #853872 by MathTherapy(10803) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Hi,\r\n" );
document.write( "\r\n" );
document.write( "I have been trying to solve a word problem, here it is:\r\n" );
document.write( "\r\n" );
document.write( "Three years ago, Evan was one third of his sister's age. In a year's time, Evan's age doubled will match his sister's age. How old is Evan now?\r\n" );
document.write( "\r\n" );
document.write( "I know that I need to turn the problem into an equation and then solve, but I can not figure out how to turn the problem into an equation\r\n" );
document.write( "\r\n" );
document.write( "Thanks\r\n" );
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document.write( "\r\n" );
document.write( "Let Evan's age be E, and his sister's, S\r\n" );
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document.write( "\"Three years ago, Evan was one third of his sister's age.....\" translates to: \r\n" );
document.write( " ------ eq (i)\r\n" );
document.write( "\"In a year's time, Evan's age doubled will match his sister's age.....translates to: 2(E + 1) = S + 1 \r\n" );
document.write( "                                                                                                                                             2E + 2 = S + 1     \r\n" );
document.write( "                                                                                                                                       2E + 2 - 1 = S\r\n" );
document.write( "                                                                                                                                             2E + 1 = S ------ eq (ii)\r\n" );
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document.write( "                    \r\n" );
document.write( "                     ---- Substituting 2E + 1 for S, in eq (i)\r\n" );
document.write( "                    \r\n" );
document.write( "                3E - 9 = 2E - 2 ----- Multiplying by LCD, 3\r\n" );
document.write( "              3E - 2E = - 2 + 9\r\n" );
document.write( "Evan's age, or E = 7

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