document.write( "Question 1204684: Mary’s age is 3 more than twice her brother’s age. The sum of their ages is 33. What is Mary’s age? \n" ); document.write( "
Algebra.Com's Answer #841240 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Mary’s age is 3 more than twice her brother’s age. The sum of their ages is 33. What is Mary’s age?\r\n" ); document.write( "\r\n" ); document.write( "Let Mary's and her brother's ages be M and B, respectively\r\n" ); document.write( " Then we get: M = 2B + 3 ---- eq (i)\r\n" ); document.write( " Also, M + B = 33____B = 33 - M ----- eq (ii)\r\n" ); document.write( " M = 2(33 - M) + 3 ----- Substituting 33 - M for B in eq (i)\r\n" ); document.write( " M = 66 - 2M + 3\r\n" ); document.write( " M + 2M = 66 + 3\r\n" ); document.write( " 3M = 69\r\n" ); document.write( "Mary's age, or\n" ); document.write( " |