document.write( "Question 1195175: Hi
\n" ); document.write( "The sum of Sofia and her mothers age is twice the difference between their ages. 5 years ago Sofia's mother is 4 times as old as Sofia. How old are they now.\r
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Algebra.Com's Answer #827575 by ikleyn(52814) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Hi
\n" ); document.write( "The sum of Sofia and her mothers age is twice the difference between their ages.
\n" ); document.write( "5 years ago Sofia's mother is 4 times as old as Sofia. How old are they now.\r
\n" ); document.write( "\n" ); document.write( "Thank you
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\n" ); document.write( "\n" ); document.write( "            As $\"highlight%28usual%29\"$ , the solution and the answer from the post of @josgarithmetic \r
\n" ); document.write( "\n" ); document.write( "            (5 years for daughter and 15 years for her mother) are both $\"highlight%28WRONG%29\"$ and $\"highlight%28INCORRECT%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "            I came to bring you a correct solution.\r
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document.write( "d,m;\r\n" );
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document.write( "d+m = 2m-2d\r\n" );
document.write( "2m-2d = d+m\r\n" );
document.write( "m-3d = 0\r\n" );
document.write( "m=3d\r\n" );
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document.write( "m-5=4d-20\r\n" );
document.write( "m=4d-15\r\n" );
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document.write( "3d = 4d-15\r\n" );
document.write( "0 = d-15\r\n" );
document.write( "0 = d-15\r\n" );
document.write( "d = 15\r\n" );
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document.write( "Sofia is 15 years old;  her mother is 45 years old.    ANSWER\r\n" );
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document.write( "You may check it on your own that all conditions of the problem are satisfied.\r\n" );
document.write( "

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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "For the safety of your brain, ignore the post by @josgarithmetic.\r
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