document.write( "Question 752612: the sum of reciprocal of rehman age[in years],3 years ago 5 years from now is 1/3.find his present age. \n" ); document.write( "
Algebra.Com's Answer #457884 by dkppathak(439)![]() ![]() You can put this solution on YOUR website! the sum of reciprocal of rehman age[in years],3 years ago 5 years from now is 1/3.find his present age.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let present age of rahaman is x yrs \n" ); document.write( "3 yrs ago age of rahman was x-3 yrs \n" ); document.write( "5 yrs from now age of rahman will be x+5 yrs \n" ); document.write( "as per given conditions \n" ); document.write( "1/x-3 +1/x+5 =1/3 \n" ); document.write( "by LCM \n" ); document.write( "x+5+x-3/(x+5)(x-3) =1/3 \n" ); document.write( "2x+2/x^2 +2x -15 =1/3\r \n" ); document.write( "\n" ); document.write( "by cross multiplication we can find \n" ); document.write( "6x+6 =x^2 +2x-15\r \n" ); document.write( "\n" ); document.write( "x^2+2x -15 -6x -6 =0 \n" ); document.write( "x^2 -4x-21=0 \n" ); document.write( "(x-7)(x+3) =0 \n" ); document.write( "x-7=0 or x=3 =0 \n" ); document.write( "x=7 or x=-3 \n" ); document.write( "neglecting negative value of age \n" ); document.write( "we can conclude \n" ); document.write( "rahman present age is 7 yrs \n" ); document.write( " \n" ); document.write( " |