document.write( "Question 213177: Ben is one more than two times as old as Denise. In 19 years the sum of their ages will be 126. How old is Ben now? \n" ); document.write( "

Algebra.Com's Answer #161058 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
Ben is one more than two times as old as Denise. In 19 years the sum of their ages will be 126. How old is Ben now?\r
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\n" ); document.write( "\n" ); document.write( "Let n = Denise age\r
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\n" ); document.write( "\n" ); document.write( "Let 2n = Ben's age\r
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\n" ); document.write( "\n" ); document.write( "Then (n+19)+(2n+19)=126 since in 19 years the sum of their ages will be 126.\r
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\n" ); document.write( "\n" ); document.write( "The following will now solve the above equation\r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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

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This is an equation! Solutions: n=29.3333333333333.
Graphical form: Equation $\"%28n%2B19%29%2B%282n%2B19%29=126\"$ was fully solved.
Text form: (n+19)+(2n+19)=126 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+%28n%2B19%29%2B%282n%2B19%29=126+%29\"$
For tutors: simplify_cartoon( (n+19)+(2n+19)=126 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+%28n%2B19%29+%29%2B%282%2An%2B19%29=126\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+n+%29\"$ , $\"highlight_red%28+19+%29\"$
It becomes $\"highlight_green%28+n+%29%2Bhighlight_green%28+19+%29%2B%282%2An%2B19%29=126\"$ .
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Look at $\"n%2B19%2Bhighlight_red%28+%282%2An%2B19%29+%29=126\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+2%2An+%29\"$ , $\"highlight_red%28+19+%29\"$
It becomes $\"n%2B19%2Bhighlight_green%28+2%2An+%29%2Bhighlight_green%28+19+%29=126\"$ .
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Look at $\"n%2Bhighlight_red%28+19+%29%2B2%2An%2Bhighlight_red%28+19+%29=126\"$ .
Added fractions or integers together
It becomes $\"n%2Bhighlight_green%28+38+%29%2B2%2An=126\"$ .
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Look at $\"n%2Bhighlight_red%28+38+%29%2B2%2An=126\"$ .
Moved $\"38\"$ to the right of expression
It becomes $\"n%2B2%2An%2Bhighlight_green%28+38+%29=126\"$ .
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Look at $\"highlight_red%28+n+%29%2Bhighlight_red%28+2%2An+%29%2B38=126\"$ .
Eliminated similar terms $\"highlight_red%28+n+%29\"$ , $\"highlight_red%28+2%2An+%29\"$ replacing them with $\"highlight_green%28+%281%2B2%29%2An+%29\"$
It becomes $\"highlight_green%28+%281%2B2%29%2An+%29%2B38=126\"$ .
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Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%29%2An%2B38=126\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+3+%29%29%2An%2B38=126\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+3+%29%29%2An+%29%2B38=126\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+3+%29\"$
It becomes $\"highlight_green%28+3+%29%2An%2B38=126\"$ .
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Look at $\"3%2An%2B38=highlight_red%28+126+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-126+%29\"$
It becomes $\"3%2An%2B38-highlight_green%28+126+%29=0\"$ .
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Look at $\"3%2An%2Bhighlight_red%28+38+%29-highlight_red%28+126+%29=0\"$ .
Added fractions or integers together
It becomes $\"3%2An%2Bhighlight_green%28+-88+%29=0\"$ .
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Look at $\"3%2An%2Bhighlight_red%28+-88+%29=0\"$ .
Removed extra sign in front of $\"-88\"$
It becomes $\"3%2An-highlight_green%28+88+%29=0\"$ .
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Look at $\"highlight_red%28+3%2An-88+%29=0\"$ .
Solved linear equation $\"highlight_red%28+3%2An-88=0+%29\"$ equivalent to 3*n-88 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: n=29.3333333333333.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "So Denise is 29.333 years old which means Ben is 58.667 years old \r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit \r
\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit \r
\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "

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