document.write( "Question 565367: Ruby is thrice as old as Jade. Jade is 4 years older than Pearl. In ten years Ruby will be 2 years more than twice as old as Jade will then be. How old are they now? \n" ); document.write( "
Algebra.Com's Answer #366026 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Ruby is thrice as old as Jade. Jade is 4 years older than Pearl. In ten years Ruby will be 2 years more than twice as old as Jade will then be. How old are they now?\r \n" ); document.write( "\n" ); document.write( "Let \n" ); document.write( "Present age of Ruby = r \n" ); document.write( "Present age of Jade = j \n" ); document.write( "Present age of Pearl = p\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Ruby is thrice as old as Jade \n" ); document.write( "r=3j............(1) \n" ); document.write( "Jade is 4 years older than Pearl \n" ); document.write( "j=p+4...........(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In ten years \n" ); document.write( "Ruby will be = r+10 \n" ); document.write( "Jade will be = j+10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Ruby will be 2 years more than twice as old as Jade will be then \n" ); document.write( "r+10=2(j+10)+2 \n" ); document.write( "r+10=2j+20+2 \n" ); document.write( "r+10=2j+22 \n" ); document.write( "r=2j+22-10 \n" ); document.write( "r=2j+12.............(3) \n" ); document.write( "Put the value of r from (1) to (3) \n" ); document.write( "3j=2j+12 \n" ); document.write( "3j-2j=12 \n" ); document.write( "j=12 \n" ); document.write( "Put the value of j in (2) \n" ); document.write( "j=p+4...........(2) \n" ); document.write( "12=p+4 \n" ); document.write( "p+4=12 \n" ); document.write( "p=12-4 \n" ); document.write( "p=8 \n" ); document.write( "Put the value of j in (1) \n" ); document.write( "r=3j \n" ); document.write( "r=3(12) \n" ); document.write( "r=36\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Present age of Ruby = r = 36 years old \n" ); document.write( "Present age of Jade = j = 12 years old \n" ); document.write( "Present age of Pearl = p = 8 years old\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |