document.write( "Question 363486: raki is 26 years younger than her mother. in 9 years, her mother will be twice as old as raki. how old is each now. \n" ); document.write( "
Algebra.Com's Answer #259184 by vasumathi(46)![]() ![]() ![]() You can put this solution on YOUR website! let the age of raki = r \n" ); document.write( "and the mother's age = m \n" ); document.write( "raki is 26 years younger than her mother \n" ); document.write( "so we have \n" ); document.write( "r = m-26 \n" ); document.write( "in 9 years the age of raki = r+9 \n" ); document.write( "and the mother's age in 9 years would be m+9 \n" ); document.write( "in 9 years, her mother will be twice as old as raki.\r \n" ); document.write( "\n" ); document.write( "so \n" ); document.write( "m+9 = 2(r+9) \n" ); document.write( "but we have r = m-26 \n" ); document.write( "let us plug in this in the equation above \n" ); document.write( "m+9 = 2(m-26 +9) \n" ); document.write( "m+9 = 2(m-17) \n" ); document.write( "m+9 = 2m -34 \n" ); document.write( "subtract m on both sides \n" ); document.write( "m+9-m = 2m-34-m \n" ); document.write( "9 = m-34 \n" ); document.write( "add 34 on both sides \n" ); document.write( "9+34 = m-34 + 34 \n" ); document.write( "so m = 43 \n" ); document.write( "so mother's present age = 43 years \n" ); document.write( "and raki's present age is \n" ); document.write( "43-26=17 years \n" ); document.write( " \n" ); document.write( " |