document.write( "Question 188991: Please help me to solve this.: In 2 yrs Jack will be double his sister Jen's age. The sum of Jacks age and 3 times Jen's age equals 66.
\n" ); document.write( "What is Jen's age? What is the formula to find this out and what is the answer?
\n" ); document.write( "I have tried X+3Y=66; then X+y= 66/3; X+Y=22; then coming up with Jen's age as 10, but somehow this doesn't seem right. I hope you can help.
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Algebra.Com's Answer #141744 by jonvaliente(64)\"\" \"About 
You can put this solution on YOUR website!
Let x = jack's age
\n" ); document.write( "Let y = Jen's age\r
\n" ); document.write( "\n" ); document.write( "In two years, Jack will be double Jen's age:\r
\n" ); document.write( "\n" ); document.write( "\"x%2B2=2%2A%28y%2B2%29\"\r
\n" ); document.write( "\n" ); document.write( "The sum of Jack's age and 3 times Jen's age is 66:\r
\n" ); document.write( "\n" ); document.write( "\"x%2B3%2Ay=66\" (2)\r
\n" ); document.write( "\n" ); document.write( "Simplifying the first equation, we get:\r
\n" ); document.write( "\n" ); document.write( "\"x%2B2=2%2Ay%2B4\" or...\r
\n" ); document.write( "\n" ); document.write( "\"x-2%2Ay=2\" (1)\r
\n" ); document.write( "\n" ); document.write( "Subtracting equation (1) from (2) we get:\r
\n" ); document.write( "\n" ); document.write( " \"x%2B3%2Ay=66\"
\n" ); document.write( "-\"x-2%2Ay=2\"
\n" ); document.write( "-----------------
\n" ); document.write( " \"5%2Ay=64\"\r
\n" ); document.write( "\n" ); document.write( "Dividing both sides by 5, we get:\r
\n" ); document.write( "\n" ); document.write( "\"y=12.8\"\r
\n" ); document.write( "\n" ); document.write( "Solving for Jack's age, using equation (2), we get:\r
\n" ); document.write( "\n" ); document.write( "\"x%2B3%2A%2812.8%29=66\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2B38.4=66\"\r
\n" ); document.write( "\n" ); document.write( "\"x=27.6\"\r
\n" ); document.write( "\n" ); document.write( "Therefore:\r
\n" ); document.write( "\n" ); document.write( "Jack is 27.6 years old while Jen is 12.8 years old
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