document.write( "Question 214484: This year, your brother Jack will be 2 years from being twice as old as your sister Jen. The sum of Jack's age and three times Jen's age is 66. How old is Jen? \n" ); document.write( "

Algebra.Com's Answer #162041 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
This year, your brother Jack will be 2 years from being twice as old as your sister Jen. The sum of Jack's age and three times Jen's age is 66. How old is Jen?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1. Let x by Jen's age. Let 2x-2 be Jack's age (2 year from being twice as old as sister Jen)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2. 2x-2+3x=66 (the sum of Jack's age and three times Jen's age is 66)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3. The following steps will solve the above equation:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

\n" ); document.write( "\n" ); document.write( "

This is an equation! Solutions: x=13.6.
Graphical form: Equation $\"2x-2%2B3x=66\"$ was fully solved.
Text form: 2x-2+3x=66 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+2x-2%2B3x=66+%29\"$
For tutors: simplify_cartoon( 2x-2+3x=66 )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"2%2Ax-highlight_red%28+2+%29%2B3%2Ax=66\"$ .
Moved $\"-2\"$ to the right of expression
It becomes $\"2%2Ax%2B3%2Ax-highlight_green%28+2+%29=66\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+2%2Ax+%29%2Bhighlight_red%28+3%2Ax+%29-2=66\"$ .
Eliminated similar terms $\"highlight_red%28+2%2Ax+%29\"$ , $\"highlight_red%28+3%2Ax+%29\"$ replacing them with $\"highlight_green%28+%282%2B3%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%282%2B3%29%2Ax+%29-2=66\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+2+%29%2Bhighlight_red%28+3+%29%29%2Ax-2=66\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+5+%29%29%2Ax-2=66\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-2=66\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+5+%29\"$
It becomes $\"highlight_green%28+5+%29%2Ax-2=66\"$ .
\n" ); document.write( "

Look at $\"5%2Ax-2=highlight_red%28+66+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-66+%29\"$
It becomes $\"5%2Ax-2-highlight_green%28+66+%29=0\"$ .
\n" ); document.write( "

Look at $\"5%2Ax-highlight_red%28+2+%29-highlight_red%28+66+%29=0\"$ .
Added fractions or integers together
It becomes $\"5%2Ax%2Bhighlight_green%28+-68+%29=0\"$ .
\n" ); document.write( "

Look at $\"5%2Ax%2Bhighlight_red%28+-68+%29=0\"$ .
Removed extra sign in front of $\"-68\"$
It becomes $\"5%2Ax-highlight_green%28+68+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+5%2Ax-68+%29=0\"$ .
Solved linear equation $\"highlight_red%28+5%2Ax-68=0+%29\"$ equivalent to 5*x-68 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=13.6.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 4. The age of Jen is 13.6 years old.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "

\n" );