document.write( "Question 1085526: In a class, average height of all students is 'a' cms. Among them, average height of 10 students is 'b' cms and the average height of the remaining students is 'c' cms. find the number of students in the class. (here a>c and b>c). \n" ); document.write( "

Algebra.Com's Answer #699773 by Fombitz(32388) $\"\"$ $\"About$

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Let the number of students equal N.
\n" ); document.write( "So,
\n" ); document.write( " $\"T%2FN=a\"$
\n" ); document.write( " $\"T=aN\"$
\n" ); document.write( "and
\n" ); document.write( " $\"b=T%5B10%5D%2F10\"$
\n" ); document.write( " $\"T%5B10%5D=10b\"$
\n" ); document.write( "and
\n" ); document.write( " $\"c=T%5BN-10%5D%2F%28N-10%29\"$
\n" ); document.write( " $\"T%5BN-10%5D=%28N-10%29c\"$
\n" ); document.write( "and,
\n" ); document.write( " $\"T=T%5BN-10%5D%2BT%5B10%5D\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"aN=%28N-10%29c%2B10b\"$
\n" ); document.write( " $\"aN=cN-10c%2B10b\"$
\n" ); document.write( " $\"aN-cN=10%28b-c%29\"$
\n" ); document.write( " $\"%28a-c%29N=10%28b-c%29\"$
\n" ); document.write( " $\"highlight%28N=10%28%28b-c%29%2F%28a-c%29%29%29\"$
\n" ); document.write( " \n" ); document.write( "

\n" );