document.write( "Question 1119685: There are 4 people in Sam's family. The sum of their ages is 73. Sam's father is 3 years older than his mother. Sam's sister is 2 years younger than him. But 4 years ago the sum of the ages of everyone in Sam's family was 58.\r
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Algebra.Com's Answer #735289 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "The difference 73 - 58   is  15 instead of expected 4*4 = 16.\r\n" );
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document.write( "It means that the youngest member of the family - the sister, is only 3 years old.\r\n" );
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document.write( "Then Sam is 3+2 = 5 years old.\r\n" );
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document.write( "Now we know that \r\n" );
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document.write( "Father + Mother = 73 - 3 - 5 = 65,    and\r\n" );
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document.write( "Father - Mother =  3.\r\n" );
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document.write( "By adding the last two equations, you get  2*Father = 65+3 = 68  ====>  Father is 68/2 = 34 years old.\r\n" );
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document.write( "Then the Mother is  34-3 = 31 years old.\r\n" );
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