document.write( "Question 1204069: A, B and C are consecutive natural numbers. If 2/7 of the reciprocal of A is equal to ⅓ of the reciprocal of C, find B.​
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Algebra.Com's Answer #840081 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"+N\" = { \"+1\" , \"+2\" , \"+3\" , \"+4\" ,\"++5\" , \"+6\" , ……} So consecutive natural numbers are the numbers that continuously follow each other in order from the smallest number to the largest number. \r
\n" ); document.write( "\n" ); document.write( "let\r
\n" ); document.write( "\n" ); document.write( "\"+A=n+\"
\n" ); document.write( "\"+B=n%2B1+\"
\n" ); document.write( "\"+C=n%2B2\" \r
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\n" ); document.write( "the reciprocal of \"++A=1%2Fn\" \r
\n" ); document.write( "\n" ); document.write( "\"+2%2F7\" of the reciprocal of \"+A+\" is \"+%282%2F7%29%281%2Fn%29=2%2F%287n%29\" \r
\n" ); document.write( "\n" ); document.write( "the reciprocal of \"+C\" is \"+1%2F%28n%2B2%29\" \r
\n" ); document.write( "\n" ); document.write( " \"+1%2F3\" of the reciprocal of \"+C\" is \"+%281%2F3%29%281%2F%28n%2B2%29%29=1%2F%283%28n%2B2%29%29\" \r
\n" ); document.write( "\n" ); document.write( "If \"+2%2F7+\" of the reciprocal of \"+A\" is equal to \"+1%2F3+\" of the reciprocal of \"+C\" , we have\r
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\n" ); document.write( "\n" ); document.write( "\"+2%2F%287n%29=1%2F%283%28n%2B2%29%29\" ...cross multiply\r
\n" ); document.write( "\n" ); document.write( "\"+2%283%28n%2B2%29%29=1%287n%29\" \r
\n" ); document.write( "\n" ); document.write( "\"+6%28n%2B2%29=7n\" \r
\n" ); document.write( "\n" ); document.write( "\"+6n%2B12=7n\" \r
\n" ); document.write( "\n" ); document.write( "\"+12=7n-6n\" \r
\n" ); document.write( "\n" ); document.write( "\"+n=12\" \r
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( "\"+B=12%2B1+\" \r
\n" ); document.write( "\n" ); document.write( "\"+B=13\" \r
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