document.write( "Question 1132324: ) Dheeraj is half of the age of his Father. His father is 4
\n" ); document.write( "years elder to his mother. 4 years back, Dheeraj was half
\n" ); document.write( "the age of his mother. What is the present age of Dheeraj?
\n" ); document.write( "

Algebra.Com's Answer #749332 by ikleyn(52914)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "Let x be the Dheeraj age.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the father's age is 2x years, while the mother's age is 2x-4 years.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "4 years ago Dheeraj's age was x-4 years, while the mother's age was (2x-4)-4 = 2x - 8 years.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The condition says\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2*(x-4) = 2x - 8.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "This equation is, actually, an IDENTITY: it is true for ANY value of x,  and, therefore, \r\n" );
document.write( "\r\n" );
document.write( "the value of x CAN NOT be determined uniquely from the equation.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The age of Dheeraj can be any positive number,  and CAN NOT BE DETERMINED uniquely from the given condition.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );