document.write( "Question 600588: A grandfather is 50 years older than his grandson. Five years ago he was six times as old as his grandson was then. How old is the grandfather now? \n" ); document.write( "

Algebra.Com's Answer #379384 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Grandson's age now
\n" ); document.write( "Let $\"+b+\"$ = Grandfather's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+b+=+a+%2B+50+\"$
\n" ); document.write( "(2) $\"+b+-+5+=+6%2A%28+a+-+5+%29+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+a+%2B+50+-+5+=+6a+-+30+\"$
\n" ); document.write( "(2) $\"+6a+-+a+=+50+-+5+%2B+30+\"$
\n" ); document.write( "(2) $\"+5a+=+75+\"$
\n" ); document.write( "(2) $\"+a+=+15+\"$
\n" ); document.write( "and, since,
\n" ); document.write( "(1) $\"+b+=+a+%2B+50+\"$
\n" ); document.write( "(1) $\"+b+=+15+%2B+50+\"$
\n" ); document.write( "(1) $\"+b+=+65+\"$
\n" ); document.write( "The Grandfather is 65
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+65+-+5+=+6%2A%28+a+-+5+%29+\"$
\n" ); document.write( "(2) $\"+60+=+6%2A%28+15+-+5+%29+\"$
\n" ); document.write( "(2) $\"+60+=+60+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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