document.write( "Question 1062096: One integer is 2 units more than another. If the product of the two integers is equal to five times the larger, then find the two integers. \n" ); document.write( "
Algebra.Com's Answer #676876 by math_helper(2461)\"\" \"About 
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Let U = the larger integer
\n" ); document.write( "Let V = the smaller
\n" ); document.write( "-
\n" ); document.write( "U = V + 2 (1)
\n" ); document.write( "UV = 5*U (2)
\n" ); document.write( "—
\n" ); document.write( "Subs V+2 for U from (1) into (2):
\n" ); document.write( "(V+2)V = 5(V+2)
\n" ); document.write( "\"+V%5E2+%2B+2V+=+5V+%2B+10+\"
\n" ); document.write( "\"+V%5E2+-+3V+-+10+=+0+\"
\n" ); document.write( "\"++%28V-5%29%28V%2B2%29+=+0+\"\r
\n" ); document.write( "\n" ); document.write( "\"+V=5+\" or \"+V=-2+\"
\n" ); document.write( "—
\n" ); document.write( "#1 V=5 —> U=7
\n" ); document.write( "#2 V=-2 —> U=0
\n" ); document.write( "—
\n" ); document.write( "Check if either/both make sense:
\n" ); document.write( "#1: 5*7 = 35 = 5*5 (ok)
\n" ); document.write( "#2: -2*0 = 0 = 5*0 (ok)
\n" ); document.write( "—\r
\n" ); document.write( "\n" ); document.write( "Answers:
\n" ); document.write( "#1. 5 and 7
\n" ); document.write( "#2. -2 and 0\r
\n" ); document.write( "\n" ); document.write( "
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