document.write( "Question 71445: 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 #51102 by Earlsdon(6294) $\"\"$ $\"About$

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Let the first integer be x. The next consecutive integer is (x+1). From the problem description you can write:
\n" ); document.write( " $\"%283%2F5%29%28x%2B1%29+-+%281%2F2%29x+=+3\"$ Simplify and solve for x.
\n" ); document.write( " $\"%28%283x%2B3%29%2F5%29-x%2F2+=+3\"$ Subtract the fractions on the left side. The LCD is 10.
\n" ); document.write( " $\"%28%286x%2B6%29-5x%29%2F10+=+3\"$ Multiply both sides by 10 and simplify.
\n" ); document.write( " $\"x%2B6+=+30\"$ Subtract 6 from both sides.
\n" ); document.write( " $\"x+=+24\"$ and $\"x%2B1+=+25\"$
\n" ); document.write( "The two consecutive integers are: 24 and 25 \n" ); document.write( "

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