document.write( "Question 357188: Find four consecutive integers so that if the first is increased by 2, the second decreased by 2, the third multiplied by 2 and the fourth divided by 2, then the sum of the four resulting numbers is 200. \n" ); document.write( "

Algebra.Com's Answer #255087 by neatmath(302) $\"\"$ $\"About$

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We know that four unknown consecutive integers would be in the form:
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\n" ); document.write( "\n" ); document.write( " $\"x\"$ $\"x%2B1\"$ $\"x%2B2\"$ $\"x%2B3\"$
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\n" ); document.write( "\n" ); document.write( "So, we then use this format to solve the problem, given:
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\n" ); document.write( "\n" ); document.write( " $\"%28x%2B2%29%2B%28x%2B1-2%29%2B2%2A%28x%2B2%29%2B%28x%2B3%29%2F2=200\"$
\r
\n" ); document.write( "\n" ); document.write( " $\"2x%2B1%2B2%2A%28x%2B2%29%2B%28x%2B3%29%2F2=200\"$
\r
\n" ); document.write( "\n" ); document.write( " $\"2x%2B1%2B2x%2B4%2B%28x%2B3%29%2F2=200\"$
\r
\n" ); document.write( "\n" ); document.write( " $\"4x%2B5%2B%28x%2B3%29%2F2=200\"$
\r
\n" ); document.write( "\n" ); document.write( " $\"8x%2B10%2B%28x%2B3%29=400\"$
\r
\n" ); document.write( "\n" ); document.write( " $\"9x%2B13=400\"$
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\n" ); document.write( "\n" ); document.write( " $\"9x=387\"$
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\n" ); document.write( "\n" ); document.write( " $\"x=43\"$
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\n" ); document.write( "\n" ); document.write( "Thus, the four consecutive integers we are looking for are:
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\n" ); document.write( "\n" ); document.write( "43, 44, 45, and 46
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\n" ); document.write( "\n" ); document.write( "I hope this helps!
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