document.write( "Question 500013: james is twice as old as his friend peter. peter is 5 years older than alice right now. in 5 years, james will be three times as old as alice. how old is peter now? \n" ); document.write( "
Algebra.Com's Answer #338013 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Present age of James = j \n" ); document.write( "Present age of Peter = p \n" ); document.write( "Present age of Alice = a\r \n" ); document.write( "\n" ); document.write( "James is twice as old as his friend peter \n" ); document.write( "j=2p ..........(1)\r \n" ); document.write( "\n" ); document.write( "Peter is 5 years older than Alice \n" ); document.write( "p=a+5..........(2)\r \n" ); document.write( "\n" ); document.write( "In 5 years, James will be three times as old as Alice \n" ); document.write( "j+5=3(a+5) \n" ); document.write( "j+5=3a+15 \n" ); document.write( "j=3a+15-5 \n" ); document.write( "j=3a+10......(3)\r \n" ); document.write( "\n" ); document.write( "Put the value of j from (1) in (3) \n" ); document.write( "j=3a+10 \n" ); document.write( "2p=3a+10 .......(4) \n" ); document.write( "Multiply (2) by -3 and add to (4) \n" ); document.write( "p=a+5..........(2)\r \n" ); document.write( "\n" ); document.write( "-3p=-3a-15 \n" ); document.write( "+2p=3a+10 \n" ); document.write( "---------------- \n" ); document.write( "-p=-5 \n" ); document.write( "Multiply by (-1) both sides of the above equation \n" ); document.write( "(-1)-p=-5(-1) \n" ); document.write( "p=5\r \n" ); document.write( "\n" ); document.write( "Peter is 5 years old \n" ); document.write( "Put the value of p in (1) \n" ); document.write( "j=2p \n" ); document.write( "j=2*5 \n" ); document.write( "j=10 \n" ); document.write( "James is 10 years old \n" ); document.write( "Put the value of p in (2) \n" ); document.write( "p=a+5 \n" ); document.write( "5=a+5 \n" ); document.write( "5-5=a \n" ); document.write( "a=0 \n" ); document.write( "Alice is 0 years old !!!!! \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |