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.​
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #840146 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "You have received several responses showing valid solutions. They all use equations involving the reciprocals of A and C, because that is how the information is given.

\n" ); document.write( "The algebra is easier if you set up the problem differently.

\n" ); document.write( "2/7 of the reciprocal of A is 7/2 times A; 1/3 of the reciprocal of C is 3/1 times C.

\n" ); document.write( "A, B, and C are consecutive natural numbers, and we are solving for B. So A is B-1 and C is B+1. Then we have

\n" ); document.write( "\"%287%2F2%29%28B-1%29=3%28B%2B1%29\"
\n" ); document.write( "\"7%28B-1%29=6%28B%2B1%29\"
\n" ); document.write( "\"7B-7=6B%2B6\"
\n" ); document.write( "\"B=13\"

\n" ); document.write( "ANSWER: B = 13

\n" ); document.write( "
\n" ); document.write( "
\n" );