document.write( "Question 889277: a student 1st reduced a number by 20 % and then increased it again by 20%.if the difference between the two new numbers was 8,then what is the orginal number? \n" ); document.write( "

Algebra.Com's Answer #538026 by josgarithmetic(39633) $\"\"$ $\"About$

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Just follow the process as described!\r
\n" ); document.write( "\n" ); document.write( "Let u = the starting number.\r
\n" ); document.write( "\n" ); document.write( "20% increase is $\"1.2u\"$ .
\n" ); document.write( "20% decrease is $\"1.2u-0.20%281.20u%29\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The student now has $\"abs%281.2u-%281.2u-0.2u%29%29=8\"$ .
\n" ); document.write( " $\"abs%281.2u-1.2u%2B0.2u%29=8\"$
\n" ); document.write( " $\"abs%280.2u%29=8\"$
\n" ); document.write( " $\"0.2u=8\"$
\n" ); document.write( " $\"u=8%2F0.2\"$
\n" ); document.write( " $\"highlight%28u=40%29\"$
\n" ); document.write( " \n" ); document.write( "

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