document.write( "Question 1206413: Maria is 5 more than thrice the age of her brother. In 8 years , the sum of their ages will be 33. \r
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Algebra.Com's Answer #843871 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "It can be easily solved mentally, without using equations.\r
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document.write( "    \"In 8 years, the sum of their ages will be 33.\"\r\n" );
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document.write( "Hence, now, or today, the sum of their ages is 33-8-8 = 33-16 = 17.\r\n" );
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document.write( "Thus, we have that Maria is 5 more than trice the age of her brother,\r\n" );
document.write( "                   and the sum of their ages is 17.\r\n" );
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document.write( "Take 5 years away from both parts of this statement, for a moment, and will work with \"corrected\" Maria age.  \r\n" );
document.write( "You will get\r\n" );
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document.write( "                  Maria is thrice the age of her brother\r\n" );
document.write( "                  and the sum of their ages is 12.\r\n" );
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document.write( "At this point, it is easy to guess that the brother is 3 years old, while Maria's corrected age is 3*3 = 9 years.\r\n" );
document.write( "Now return these 5 years to the Maria's age and get her true age  9+5 = 14 years.\r\n" );
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document.write( "ANSWER.  Maria is 14 years old; her brother is 3 years old.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Good student should know the algebra solution, shown to you by the other tutor.\r
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\n" ); document.write( "\n" ); document.write( "It is a base and a basic.\r
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\n" ); document.write( "\n" ); document.write( "Knowing mental solution will make your horizon wider, and will add you more confidence.\r
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