document.write( "Question 103136: kanchan receives a cdertian amount of money on her retirement from her employer. she give half of this money & an additional sum of Rs.10000/- to her daughter. she also gives one third of the money received & an additional sum of Rs.3000/- to her son. if the daughter gets twice as much as the son. find the amount of money kanchan received on her retirement. \n" ); document.write( "
Algebra.Com's Answer #74982 by HyperBrain(694)\"\" \"About 
You can put this solution on YOUR website!
Let x=the amount of money kanchan received on her retirement
\n" ); document.write( " a=amt. received by daughter
\n" ); document.write( " b=amt. received by son
\n" ); document.write( "(1)a=x/2+10000
\n" ); document.write( "(2)b=x/3+3000
\n" ); document.write( "(3)a=2b
\n" ); document.write( "Sltn:
\n" ); document.write( "Substituting (1) and (2) to (3),
\n" ); document.write( "x/2+10000=2(x/3+3000)
\n" ); document.write( "x/2+10000=2x/3+6000
\n" ); document.write( "6(x/2+10000)=6(2x/3+6000)
\n" ); document.write( "3x+60000=4x+36000
\n" ); document.write( "3x+60000-36000=4x+36000-36000
\n" ); document.write( "3x+24000=4x
\n" ); document.write( "x=24000
\n" ); document.write( "Therefore, Kanchan received Rs. 24000
\n" ); document.write( "
\n" );