document.write( "Question 744574: the present age of a father is equal to the sum of ages of his 5 children. 12 years hence the sum of ages of his children will be twice the age of their father. find the present age of the father. \n" ); document.write( "

Algebra.Com's Answer #852565 by ikleyn(53427) $\"\"$ $\"About$

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\n" ); document.write( "the present age of a father is equal to the sum of ages of his 5 children.
\n" ); document.write( "12 years hence the sum of ages of his children will be twice the age of their father.
\n" ); document.write( "find the present age of the father.
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document.write( "Let x be the present age of the father.\r\n" );
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document.write( "According to the problem, x is equal to the sum of the 5 his children, at the same time.\r\n" );
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document.write( "12 years later, the sum of ages of 5 children will be  x+5*12 = x+60 years.\r\n" );
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document.write( "At that time the age of the father will be x+12 years.\r\n" );
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document.write( "The problem says that\r\n" );
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document.write( "    2(x+12) = x + 5*12.\r\n" );
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document.write( "To find x, simplify this equation step by step\r\n" );
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document.write( "    2x + 24 = x + 60\r\n" );
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document.write( "    2x - x = 60 - 24\r\n" );
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document.write( "       x   =    36.\r\n" );
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document.write( "ANSWER.  The father is 36 years old now.\r\n" );
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