document.write( "Question 119658: Peter is 12 years older than Mario. If Mario's age 2 years from now is half Peter's age 6 years from now. How old are each?\r
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Algebra.Com's Answer #87650 by Edwin McCravy(20056) $\"\"$ $\"About$

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Peter is 12 years older than Mario. If Mario's age 2 years from now is half Peter's age 6 years from now. How old are each?
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document.write( "The best way to learn how to do word problems is to practice\r\n" );
document.write( "by looking up the answer to the word problem in the back of \r\n" );
document.write( "the book and then checking it in the words to see why it is\r\n" );
document.write( "the correct answer.  \r\n" );
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document.write( "That's because the logic required to check a word problem when \r\n" );
document.write( "you DO know the answer, is exactly the same logic that you use \r\n" );
document.write( "to set up the word problem when you DON'T know the answer. You \r\n" );
document.write( "simply \"check\" the problem using an unknown instead of a known.\r\n" );
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document.write( "So first I'll tell you the answer in advance.  Then we'll check \r\n" );
document.write( "it. Then I'll tell you how to get it. \r\n" );
document.write( "Bear with me.\r\n" );
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document.write( "The answer is: Peter is 26.  \r\n" );
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document.write( "Let's check that first:\r\n" );
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document.write( "Peter is 26 years old, and is 12 years older than Mario, who is therefore 12\r\n" );
document.write( "years less, or 14. Mario's age 2 years from now will be 14+2, or 16, and \r\n" );
document.write( "that equals half of Peter's age 6 years from now, for since Peter is 26 now,\r\n" );
document.write( "he will be 32 then, and indeed 16 equals half of 32.\r\n" );
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document.write( "Now let's \"check\" it using the unknown P instead of the known 26, using\r\n" );
document.write( "the exact same words:\r\n" );
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document.write( "Peter is P years old, and is 12 years older than Mario, who is therefore 12\r\n" );
document.write( "years less, or P-12. Mario's age 2 years from now will be (P-12)+2 or P-10, and\r\n" );
document.write( "that equals half of Peter's age 6 years from now, for since Peter is P now, \r\n" );
document.write( "he will be P+6 then, and indeed P-10 equals half of P+6.\r\n" );
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document.write( "Those last words, \"P-10 equals half of P+6\", tells us that our equation is:\r\n" );
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document.write( "P-10 = (P+6).\r\n" );
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document.write( "Solve that and get P = 26, and then Mario is, of course, 12 years younger or\r\n" );
document.write( "14.\r\n" );
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document.write( "Edwin

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