document.write( "Question 587364: Holly is 6yrs younger than her sister. Holly's mother is 44 twice the sum of the age of her two children how old is holy\r
\n" ); document.write( "\n" ); document.write( "2x-6=44 \n" ); document.write( "

Algebra.Com's Answer #374081 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+h+\"$ = Holly's age
\n" ); document.write( "Let $\"+s+\"$ = Sister's age
\n" ); document.write( "Let $\"+m+\"$ = Mother's age
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+h+=+s+-+6+\"$
\n" ); document.write( "(2) $\"+m+=+44+\"$
\n" ); document.write( "(3) $\"+m+=+2%2A%28+h+%2B+s+%29+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Substitute (2) into (3)
\n" ); document.write( "(3) $\"+44+=+2h+%2B+2s+\"$
\n" ); document.write( "Substitute (1) into (3)
\n" ); document.write( "(3) $\"+44+=+2%2A%28+s+-+6%29++%2B+2s+\"$
\n" ); document.write( "(3) $\"+44+=+2s+-+12+%2B+2s+\"$
\n" ); document.write( "(3) $\"+44+=+4s+-+12+\"$
\n" ); document.write( "(3) $\"+4s+=+56+\"$
\n" ); document.write( "(3) $\"+s+=+14+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+h+=+s+-+6+\"$
\n" ); document.write( "(1) $\"+h+=+14+-+6+\"$
\n" ); document.write( "(1) $\"+h+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+m+=+2%2A%28+h+%2B+s+%29+\"$
\n" ); document.write( "(3) $\"+m+=+2%2A%28+8+%2B+14+%29+\"$
\n" ); document.write( "(3) $\"+m+=+2%2A22+\"$
\n" ); document.write( "(3) $\"+44+=+44+\"$
\n" ); document.write( "OK
\n" ); document.write( "Holly is 8 \n" ); document.write( "

\n" );