document.write( "Question 426990: When Tim started football 3 years ago, his coach was twice his age. Currently, Tim's coach is 10 years older than him. How old is Tim now? \n" ); document.write( "

Algebra.Com's Answer #296965 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"t\"$ = Tim's age now
\n" ); document.write( "Let $\"c\"$ = Coach's age now
\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) $\"+t+%2B+10+-+3+=+2%2A%28t+-+3%29+\"$
\n" ); document.write( "(1) $\"+t+%2B+7+=+2t+-+6+\"$
\n" ); document.write( "(1) $\"+t+=+13+\"$
\n" ); document.write( "Tim is 13 now
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+c+-+3+=+2%2A%28t+-+3%29+\"$
\n" ); document.write( " $\"+c+-+3+=+2%2A%2813+-+3%29+\"$
\n" ); document.write( " $\"+c+=+20+%2B+3+\"$
\n" ); document.write( " $\"+c+=+23+\"$
\n" ); document.write( "This is 10 years older than Tim is now \n" ); document.write( "

\n" );