document.write( "Question 128152: One fifth of 12 more than a certain number equals one-forth of 2 more than the number. Find the number \n" ); document.write( "

Algebra.Com's Answer #93827 by ptaylor(2198) $\"\"$ $\"About$

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Let x=the number
\n" ); document.write( "x+12=12 more than the number
\n" ); document.write( "(1/5)(x+12)=one-fifth of 12 more than the number--------------a
\n" ); document.write( "x+2=two more than the number
\n" ); document.write( "(1/4)(x+2)=one fourth of two more than the number-----------------------b\r
\n" ); document.write( "\n" ); document.write( "Now we are told that a=b, so:\r
\n" ); document.write( "\n" ); document.write( "(1/5)(x+12)=(1/4)(x+2) multiply both sides by 20, the LCM\r
\n" ); document.write( "\n" ); document.write( "4(x+12)=5(x+2) get rid of parens
\n" ); document.write( "4x+48=5x+10 subtract 5x and also 48 from both sides\r
\n" ); document.write( "\n" ); document.write( "4x-5x+48-48=5x-5x+10-48 collect like terms\r
\n" ); document.write( "\n" ); document.write( "-x=-38 multiply each side by -1
\n" ); document.write( "x=38----the number\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "(1/5)(50)=(1/4)(40)
\n" ); document.write( "10=10\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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