document.write( "Question 1099307: Please solve this question,
\n" ); document.write( "Ben is 3 years older than his sister and a third of the age of his mother.
\n" ); document.write( "His father is 4 year older than his mother and four time the age of his sister.
\n" ); document.write( "How old is Ben ?
\n" ); document.write( "Regards
\n" ); document.write( "Raza \n" ); document.write( "

Algebra.Com's Answer #713748 by ikleyn(52818) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "From the condition, you have\r\n" );
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document.write( "B = S + 3,\r\n" );
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document.write( "3B = M,\r\n" );
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document.write( "F = M + 4,\r\n" );
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document.write( "4S = F.\r\n" );
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document.write( "Then moving from the bottom to the top and making substitutions, you get this chain of equalities\r\n" );
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document.write( "4S = F = M + 4 = 3B + 4 = 3*(S+3) + 4.\r\n" );
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document.write( "which gives you \r\n" );
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document.write( "4S = 3*(S+3) + 4 ====>  4S = 3S + 13  ====>  S= 13.\r\n" );
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document.write( "The sister is 13 years old.  Ben is 13 + 3 = 16 years old.\r\n" );
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document.write( "The mother is  3*16 = 48 years old  and the father is  52 years old.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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