document.write( "Question 985647: Five years ago, a mother was twice as old as her son. In 6 years time, the sum of the ages will be 82. Find their present ages \n" ); document.write( "
Algebra.Com's Answer #606489 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = son's age 5 years ago \n" ); document.write( "2x = mother's age 5 years ago {mother was twice as old as son 5 years ago}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 5 = son's age now \n" ); document.write( "2x + 5 = mother's age now\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 11 = son's age in 6 years \n" ); document.write( "2x + 11 = mother's age in 6 years\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 11 + 2x + 11 = 82 {in 6 years time, the sum of the ages will be 82} \n" ); document.write( "3x + 22 = 82 {combined like terms} \n" ); document.write( "3x = 60 {subtracted 22 from each side} \n" ); document.write( "x = 20 {divided each side by 3}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 5 = 25 {substituted 20, in for x, into x + 5} \n" ); document.write( "2x + 5 = 45 {substituted 20, in for x, into 2x + 5}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "son is 25 now \n" ); document.write( "mother is 45 now \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |