document.write( "Question 98690: Mary is half Tom's age. In seven more years she will be two thirds Tom's age. When Mary is as old as Tim is now he will be 3 times as old as she is now. How old are mary and tom now? \n" ); document.write( "
Algebra.Com's Answer #71843 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Mary is half Tom's age. \n" ); document.write( "M = .5T \n" ); document.write( ": \n" ); document.write( "In seven more years she will be two thirds Tom's age. \n" ); document.write( "(M+7) = (2/3)(T+7) \n" ); document.write( "Multiply equation by 3 to get rid of the denominator \n" ); document.write( "3(M+7) = 2(T+7) \n" ); document.write( "3M + 21 = 2T + 14 \n" ); document.write( "Substitute.5T for M: \n" ); document.write( "3(.5T) + 21 = 2T + 14 \n" ); document.write( "1.5T - 2T = 14 - 21 \n" ); document.write( "-.5T = -7 \n" ); document.write( "T = 14 is Tom's age, Then Mary is 7 yrs old now \n" ); document.write( ": \n" ); document.write( "When Mary is as old as Tim is now he will be 3 times as old as she is now. How old are Mary and Tom now \n" ); document.write( ": \n" ); document.write( "Now Tim enters the problem, but we already know the age of Mary & Tom?? \n" ); document.write( " |