document.write( "Question 401183: When Tim started football 3 years ago, his coach was twice his age. Currently, Tim's coach is 10 yrs older than Tim. How old is Tim now? \n" ); document.write( "

Algebra.Com's Answer #283854 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"t\"$ = Tim's age now
\n" ); document.write( "Let $\"c\"$ = coaches age now
\n" ); document.write( " $\"t+-+3\"$ = Tim's age 3 years ago
\n" ); document.write( " $\"c+-+3\"$ = Coach's age 3 years ago
\n" ); document.write( "-------------------------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"c+-+3+=+2%2A%28t+-+3%29\"$
\n" ); document.write( "(2) $\"c+=+t+%2B+10\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"%28t+%2B+10%29+-+3+=+2%2A%28t+-+3%29\"$
\n" ); document.write( "(1) $\"t+%2B+7+=+2t+-+6\"$
\n" ); document.write( "(1) $\"t+=+13\"$
\n" ); document.write( "Tim is 13 yrs old now
\n" ); document.write( "check answer:
\n" ); document.write( "(1) $\"c+-+3+=+2%2A%2813+-+3%29\"$
\n" ); document.write( "(2) $\"c+=+13+%2B+10\"$
\n" ); document.write( "(2) $\"c+=+23\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"23+-+3+=+2%2A10\"$
\n" ); document.write( " $\"20+=+20\"$
\n" ); document.write( "OK \n" ); document.write( "

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