document.write( "Question 828778: Mary is 2 times Tim's age. Tim is 5 more than Gina's age. Mary is 3 times Gina's age. How old are they altogether? \n" ); document.write( "
Algebra.Com's Answer #499830 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Let M = Mary's age \n" ); document.write( "Let T = Tim's age \n" ); document.write( "Let G = Gina's age \n" ); document.write( ". \n" ); document.write( "The question tells us the following: \n" ); document.write( "M = 2T \n" ); document.write( "T = G+5 \n" ); document.write( "M = 3G \n" ); document.write( "or, M = 2T = 3G \n" ); document.write( "Substitute the value for T \n" ); document.write( "M = 2(G+5) \n" ); document.write( "M = 2G + 10 \n" ); document.write( "Now substitute the value given for M \n" ); document.write( "3G = 2G + 10 \n" ); document.write( "Subtract 2G from each side: \n" ); document.write( "G = 10 \n" ); document.write( ". \n" ); document.write( "Now that we know Gina's age, we can plug the others in. \n" ); document.write( "Mary is 3x Gina's age, or 30 \n" ); document.write( "Tim is 5 years older than Gina, or 15 (we can prove that by the other statement that Mary is twice Tim's age) \n" ); document.write( ". \n" ); document.write( "Add them together: \n" ); document.write( "Mary 30 + Tim 15 + Gina 10 = 55 \n" ); document.write( " |