document.write( "Question 563449: Find three consecutive integers such that the sum of the first plus one-third of the second plus three-eighths of the third is 25. \n" ); document.write( "
Algebra.Com's Answer #364882 by Maths68(1474)\"\" \"About 
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Let
\n" ); document.write( "First Number = \"x%2B1\"
\n" ); document.write( "Second Number=\"x%2B2\"
\n" ); document.write( "Third Number = \"x%2B3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Given
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\n" ); document.write( "sum of the first plus one-third of the second plus three-eighths of the third is 25.
\n" ); document.write( "\"%28x%2B1%29%2B%281%2F3%29%28x%2B2%29%2B%283%2F8%29%28x%2B3%29=25\"
\n" ); document.write( "\"%28x%2B1%29%2B%28x%2B2%29%2F3%2B%28%283%29%28x%2B3%29%29%2F8=25\"
\n" ); document.write( "\"%28x%2B1%29%2B%28x%2B2%29%2F3%2B%28%283%29%28x%2B3%29%29%2F8=25\"
\n" ); document.write( "\"%28x%2B1%29%2B%28x%2B2%29%2F3%2B%283x%2B9%29%2F8=25\"\r
\n" ); document.write( "\n" ); document.write( "Take LCD on R.H.S.
\n" ); document.write( "\"%2824%28x%2B1%29%2B8%28x%2B2%29%2B3%283x%2B9%29%29%2F24=25\"
\n" ); document.write( "\"%2824x%2B24%2B8x%2B16%2B9x%2B27%29%2F24=25\"
\n" ); document.write( "\"%2841x%2B67%29%2F24=25\"
\n" ); document.write( "Multiply by 24 both sides of above equation
\n" ); document.write( "\"%2824%29%2841x%2B67%29%2F24=%2825%29%2824%29\"
\n" ); document.write( "\"cross%2824%29%2841x%2B67%29%2Fcross%2824%29=600\"
\n" ); document.write( "\"41x%2B67=600\"
\n" ); document.write( "\"41x=600-67\"
\n" ); document.write( "\"41x=533\"
\n" ); document.write( "Divide by 41 both sides of above equation
\n" ); document.write( "\"41x%2F41=533%2F41\"
\n" ); document.write( "\"cross%2841%29x%2Fcross%2841%29=cross%28533%29%2Fcross%2841%29\"
\n" ); document.write( "\"x=13\"\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "First Number = \"x%2B1\" = \"13%2B1\" = \"14\"
\n" ); document.write( "Second Number=\"x%2B2\" = \"13%2B2\" = \"15\"
\n" ); document.write( "Third Number = \"x%2B3\" = \"13%2B3\" = \"16\"\r
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "======
\n" ); document.write( "sum of the first plus one-third of the second plus three-eighths of the third is 25.
\n" ); document.write( "\"14%2B%281%2F3%29%2815%29%2B%283%2F8%29%2816%29=25\"
\n" ); document.write( "\"14%2B15%2F3%2B48%2F8=25\"
\n" ); document.write( "\"14%2Bcross%2815%29%2Fcross%283%29%2Bcross%2848%29%2Fcross%288%29=25\"
\n" ); document.write( "\"14%2B5%2B6=25\"
\n" ); document.write( "\"25=25\"
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