document.write( "Question 1210343: Matej and Anton are 44 years old together. Matej is twice as old as Anton was when Matej was half as old as Anton will be when Anton is 3 times older than Matej was when Matej was 3 times as old as Anton.
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Algebra.Com's Answer #851966 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "So that the problem will have only positive integer solutions, I will change the\r\n" );
document.write( "first sentence from\r\n" );
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document.write( "Matej and Anton are 44 years old together.\r\n" );
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document.write( "to\r\n" );
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document.write( "Matej and Anton are 48 years old together.\r\n" );
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document.write( "Matej and Anton are 48 years old together. \r\n" );
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document.write( "eq. 1:      M + A = 48\r\n" );
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document.write( "Matej is twice as old as Anton was...\r\n" );
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document.write( "eq. 2:      M = 2(A - ?)\r\n" );
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document.write( "Let that be x years ago.\r\n" );
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document.write( "eq. 2:      M = 2(A - x) \r\n" );
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document.write( "...when Matej was half as old as Anton will be... \r\n" );
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document.write( "eq. 3:      M - x = (1/2)(A + ?)\r\n" );
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document.write( "Let that be y years from now.\r\n" );
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document.write( "eq. 3       M - x = (1/2)(A + y)\r\n" );
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document.write( "when Anton is 3 times older than Matej was... \r\n" );
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document.write( "eq. 4       A + y = 3(M - ?)\r\n" );
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document.write( "Let that be z years ago.\r\n" );
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document.write( "eq. 4       A + y = 3(M - z)\r\n" );
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document.write( "when Matej was 3 times as old as Anton.\r\n" );
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document.write( "eq. 5     M - z = 3(A - z)\r\n" );
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document.write( "How old is Matej?\r\n" );
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document.write( "One of the other tutors will probably solve it by hand. But if you go to:\r\n" );
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document.write( "https://www.wolframalpha.com/\r\n" );
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document.write( "and type in\r\n" );
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document.write( "M+A=48, M=2(A-x), M-x=(1/2)(A+y), A+y=3(M-z), M-z=3(A-z)\r\n" );
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document.write( "you will see:\r\n" );
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document.write( "A=18, M=30, x=3, y=36, z=12\r\n" );
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document.write( "So the answer is:  Matej is 30 years old.\r\n" );
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document.write( "Edwin
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