document.write( "Question 840713: The sum of the ages of a woman and her son is 30. In 24 years, her son will be half as old as she will be. How old is each? What are the linear equations? \n" ); document.write( "
Algebra.Com's Answer #506484 by hamsanash1981@gmail.com(151)![]() ![]() ![]() You can put this solution on YOUR website! Let the mother' age and the son's age be x and y\r \n" ); document.write( "\n" ); document.write( "x+y = 30 --- 1 \n" ); document.write( "after 24 years\r \n" ); document.write( "\n" ); document.write( "y+24 = 1/2(x+24) \n" ); document.write( "x -2y = 24 ----2\r \n" ); document.write( "\n" ); document.write( "solving 1&2 we have\r \n" ); document.write( "\n" ); document.write( "x + y = 30 \n" ); document.write( "x - 2y = 24 \n" ); document.write( "========== \n" ); document.write( "3y = 6 \n" ); document.write( "y = 2\r \n" ); document.write( "\n" ); document.write( "x = 28 \n" ); document.write( "Mother's age is 28 and son's age is 2 \n" ); document.write( " \n" ); document.write( " |