document.write( "Question 223562: Hi, I don't know how to do consecutive odd/even integers. \r
\n" ); document.write( "\n" ); document.write( "Such as this problem:\r
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\n" ); document.write( "\n" ); document.write( "Find three consecutive integers whose sum is 36. \r
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\n" ); document.write( "\n" ); document.write( "I know it's x+(x+2)+(x+3). Am I right? After all, they are 'consecutive', they are not odd or even.\r
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\n" ); document.write( "\n" ); document.write( "Then the other one is:\r
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\n" ); document.write( "\n" ); document.write( "Find two consecutive even integers whose sum is 126. \r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I did the first one, x+x+2=126\r
\n" ); document.write( "\n" ); document.write( "Then I subtracted two from both sides, and got x+x=124. Then I added like terms and got 2x=124. And then I simply divided by 2. And got 62.\r
\n" ); document.write( "\n" ); document.write( "I did the last question from another guy who answered another guy. But he didn't explain HOW to get the other one. I know the other answer is 64...but I do not know how to get it!\r
\n" ); document.write( "\n" ); document.write( "Please explain it clearly as I have an Algebra Test tomorrow, and I want to ace it.\r
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\n" ); document.write( "\n" ); document.write( "Thanks. :)
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Algebra.Com's Answer #167124 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find three consecutive integers whose sum is 36. \r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let n be the first integer.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let n+1 and n+2 be the next two consecutive integers.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Then n+n+1+n+2=36 since the sum is 36.\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=11.
Graphical form: Equation $\"n%2Bn%2B1%2Bn%2B2=36\"$ was fully solved.
Text form: n+n+1+n+2=36 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+n%2Bn%2B1%2Bn%2B2=36+%29\"$
For tutors: simplify_cartoon( n+n+1+n+2=36 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"n%2Bn%2Bhighlight_red%28+1+%29%2Bn%2Bhighlight_red%28+2+%29=36\"$ .
Added fractions or integers together
It becomes $\"n%2Bn%2Bhighlight_green%28+3+%29%2Bn=36\"$ .
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Look at $\"n%2Bn%2Bhighlight_red%28+3+%29%2Bn=36\"$ .
Moved $\"3\"$ to the right of expression
It becomes $\"n%2Bn%2Bn%2Bhighlight_green%28+3+%29=36\"$ .
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Look at $\"highlight_red%28+n+%29%2Bhighlight_red%28+n+%29%2Bhighlight_red%28+n+%29%2B3=36\"$ .
Eliminated similar terms $\"highlight_red%28+n+%29\"$ , $\"highlight_red%28+n+%29\"$ , $\"highlight_red%28+n+%29\"$ replacing them with $\"highlight_green%28+%281%2B1%2B1%29%2An+%29\"$
It becomes $\"highlight_green%28+%281%2B1%2B1%29%2An+%29%2B3=36\"$ .
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Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2An%2B3=36\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+3+%29%29%2An%2B3=36\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+3+%29%29%2An+%29%2B3=36\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+3+%29\"$
It becomes $\"highlight_green%28+3+%29%2An%2B3=36\"$ .
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Look at $\"3%2An%2B3=highlight_red%28+36+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-36+%29\"$
It becomes $\"3%2An%2B3-highlight_green%28+36+%29=0\"$ .
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Look at $\"3%2An%2Bhighlight_red%28+3+%29-highlight_red%28+36+%29=0\"$ .
Added fractions or integers together
It becomes $\"3%2An%2Bhighlight_green%28+-33+%29=0\"$ .
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Look at $\"3%2An%2Bhighlight_red%28+-33+%29=0\"$ .
Removed extra sign in front of $\"-33\"$
It becomes $\"3%2An-highlight_green%28+33+%29=0\"$ .
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Look at $\"highlight_red%28+3%2An-33+%29=0\"$ .
Solved linear equation $\"highlight_red%28+3%2An-33=0+%29\"$ equivalent to 3*n-33 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: n=11.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "So $\"n=11\"$ , $\"n%2B1=12\"$ and $\"n%2B2=13\"$ Note integers add up to 36\r
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\n" ); document.write( "\n" ); document.write( "Step 4. ANSWER: The integers are 11, 12, and 13.\r
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\n" ); document.write( "\n" ); document.write( "Find two consecutive even integers whose sum is 126. \r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let n be the first even integer\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let n+2 be the next consecutive even integers\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Then, n+n+2=126 since the sum is 126.\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=62.
Graphical form: Equation $\"n%2Bn%2B2=126\"$ was fully solved.
Text form: n+n+2=126 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+n%2Bn%2B2=126+%29\"$
For tutors: simplify_cartoon( n+n+2=126 )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

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Look at $\"highlight_red%28+n+%29%2Bhighlight_red%28+n+%29%2B2=126\"$ .
Eliminated similar terms $\"highlight_red%28+n+%29\"$ , $\"highlight_red%28+n+%29\"$ replacing them with $\"highlight_green%28+%281%2B1%29%2An+%29\"$
It becomes $\"highlight_green%28+%281%2B1%29%2An+%29%2B2=126\"$ .
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Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2An%2B2=126\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+2+%29%29%2An%2B2=126\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+2+%29%29%2An+%29%2B2=126\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$
It becomes $\"highlight_green%28+2+%29%2An%2B2=126\"$ .
\n" ); document.write( "

Look at $\"2%2An%2B2=highlight_red%28+126+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-126+%29\"$
It becomes $\"2%2An%2B2-highlight_green%28+126+%29=0\"$ .
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Look at $\"2%2An%2Bhighlight_red%28+2+%29-highlight_red%28+126+%29=0\"$ .
Added fractions or integers together
It becomes $\"2%2An%2Bhighlight_green%28+-124+%29=0\"$ .
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Look at $\"2%2An%2Bhighlight_red%28+-124+%29=0\"$ .
Removed extra sign in front of $\"-124\"$
It becomes $\"2%2An-highlight_green%28+124+%29=0\"$ .
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Look at $\"highlight_red%28+2%2An-124+%29=0\"$ .
Solved linear equation $\"highlight_red%28+2%2An-124=0+%29\"$ equivalent to 2*n-124 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: n=62.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( " $\"n=62\"$ and $\"n%2B2=64\"$ \r
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\n" ); document.write( "\n" ); document.write( "Step 4. ANSWER: The consecutive even integers are 62 and 64\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 http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit 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
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