document.write( "Question 1043080: Ram is twice as old as shyam was when ram was as old as shyam is now. If the present age of shyam is 18 years, find the present age of ram.... \n" ); document.write( "

Algebra.Com's Answer #658214 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Ram is twice as old as Shyam was when ram was as old as Shyam is now. If the present age of Shyam is 18 years,
\n" ); document.write( "find the present age of Ram....
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let R = Ram's present age and S = Shyam's present age.\r\n" );
document.write( "\r\n" );
document.write( "When Ram was as old as Shyam is now? R-S years ago.\r\n" );
document.write( "\r\n" );
document.write( "What was Shyam's age then? It was S - (R-S) = 2S - R.\r\n" );
document.write( "\r\n" );
document.write( "Now, R = 2(2S -R), since \"Ram is twice as old as Shyam was when Ram was as old as Shyam is now\".\r\n" );
document.write( "\r\n" );
document.write( "It is your equation, and it gives you, after simplifications, 3R = 4S.\r\n" );
document.write( "\r\n" );
document.write( "And since Shyam is 18 years now, 3R = 4*18 = 72,  R =  = 24.\r\n" );
document.write( "\r\n" );
document.write( "Answer.  Ram is 24 years now.  // Shiam is 18 years now.\r\n" );
document.write( "\r\n" );
document.write( "Check.  When Ram was as old as Shyam is now? 6 years ago.\r\n" );
document.write( "\r\n" );
document.write( "        What was Shyam's age then? He was 12 years old.\r\n" );
document.write( "\r\n" );
document.write( "        24 = 2*12.    !  Checked.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "For similar problems, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Age problems and their solutions\r
\n" ); document.write( "\n" ); document.write( "    - A fresh formulation of a traditional age problem\r
\n" ); document.write( "\n" ); document.write( "    - Really intricate age word problem\r
\n" ); document.write( "\n" ); document.write( "    - Selected age word problems from the archive\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );