document.write( "Question 111834: Number problem. If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers? \n" ); document.write( "

Algebra.Com's Answer #81607 by ptaylor(2198) $\"\"$ $\"About$

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Let x=one integer
\n" ); document.write( "x/2=1/2 of one integer
\n" ); document.write( "Then x+1=next consecutive integer
\n" ); document.write( "(3/5)(x+1)=3/5 of the next consecutive integer\r
\n" ); document.write( "\n" ); document.write( "Now we are told that:\r
\n" ); document.write( "\n" ); document.write( "(3/5)(x+1)-x/2=3 multiply each term by 10 (LCM)
\n" ); document.write( "6(x+1)-5x=30 get rid of parens (distributive law)
\n" ); document.write( "6x+6-5x=30 subtract 6 from both sides
\n" ); document.write( "6x+6-6-5x=30-6 collect like terms\r
\n" ); document.write( "\n" ); document.write( "x=24 on integer\r
\n" ); document.write( "\n" ); document.write( "x+1=24+1=25 next consecutive integer\r
\n" ); document.write( "\n" ); document.write( "CK\r
\n" ); document.write( "\n" ); document.write( "(3/5)*(25)-(1/2)*24=3\r
\n" ); document.write( "\n" ); document.write( "15-12=3
\n" ); document.write( "3=3\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps--ptaylor\r
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