document.write( "Question 505991: 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? \r
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Algebra.Com's Answer #340057 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Present age of Time = t \n" ); document.write( "Present age of Coach= c\r \n" ); document.write( "\n" ); document.write( "Three years ago means we have to subtract 3 from their current ages \n" ); document.write( "c-3=t-3 \n" ); document.write( "Then \n" ); document.write( "Coach was twice the age to time \n" ); document.write( "c-3=2(t-3) \n" ); document.write( "c-3=2t-6 \n" ); document.write( "c=2t-6+3 \n" ); document.write( "c=2t-3...........(1) \n" ); document.write( "Tim's coach is 10 years older than him means if we add 10 to Tim's age Coach and Time will be of equal age \n" ); document.write( "c=t+10.........(2) \n" ); document.write( "Put the value of c from (2) to (1) \n" ); document.write( "c=2t-3...........(1) \n" ); document.write( "t+10=2t-3 \n" ); document.write( "t+10=2t-3 \n" ); document.write( "t=2t-3-10 \n" ); document.write( "t-2t=-13 \n" ); document.write( "-t=-13 \n" ); document.write( "Multiply by (-1) both sides of the equation \n" ); document.write( "(-1)(-t)=(-1)(-13) \n" ); document.write( "t=13 \n" ); document.write( "Put the value of t in (2) \n" ); document.write( "c=t+10.........(2) \n" ); document.write( "c=13+10 \n" ); document.write( "c=23 \n" ); document.write( "Present age of Time = t = 13 \n" ); document.write( "Present age of Coach= c = 23 \n" ); document.write( " \n" ); document.write( " |