document.write( "Question 514607: John is ten years older than Mary. Five years ago, John was double Mary's age. How old are they now? \n" ); document.write( "
Algebra.Com's Answer #343932 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Present age of John = j \n" ); document.write( "Present age of Mary = M\r \n" ); document.write( "\n" ); document.write( "John is ten years older than Mary \n" ); document.write( "j=m+10 .......(1)\r \n" ); document.write( "\n" ); document.write( "Five years ago \n" ); document.write( "j-5=m-5 \n" ); document.write( "then, John was double Mary's age \n" ); document.write( "j-5=2(m-5) \n" ); document.write( "j-5=2m-10 \n" ); document.write( "j=2m-10+5 \n" ); document.write( "j=2m-5 \n" ); document.write( "Put the value of j from (1) to above equation \n" ); document.write( "m+10=2m-5 \n" ); document.write( "m-2m=-5-10 \n" ); document.write( "-m=-15 \n" ); document.write( "Multiply by (-1) both sides \n" ); document.write( "(-1)-m=-15(-1) \n" ); document.write( "m=15\r \n" ); document.write( "\n" ); document.write( "Put the value of m in (1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m=15\r \n" ); document.write( "\n" ); document.write( "j=m+10 .......(1) \n" ); document.write( "j=15+10 \n" ); document.write( "j=25\r \n" ); document.write( "\n" ); document.write( "Present age of John = j = 25 years old \n" ); document.write( "Present age of Mary = M = 15 years old \n" ); document.write( " \n" ); document.write( " |