document.write( "Question 1082967: scott is 4 times older than bethany. in six years from now scott will only be 3 times older than bethany. Write down two equations to describe the relationship between their ages. Now solve the equations to find out how old each of them is. Show all working please \n" ); document.write( "

Algebra.Com's Answer #696948 by ikleyn(52799) $\"\"$ $\"About$

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document.write( "Let S be the Scott's present age and B be the Bethany's present age.\r\n" );
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document.write( "Then you have this system of two equations\r\n" );
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document.write( "S = 4B              (1)\r\n" );
document.write( "S + 6 = 3*(B+6)     (2)\r\n" );
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document.write( "From (1), substitute the expression S = 4B into equation (2). You will get\r\n" );
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document.write( "4B + 6 = 3*(B+6),\r\n" );
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document.write( "4B + 6 = 3B + 18  ---->  B = 12.\r\n" );
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document.write( "Thus Bethany is 12 years old now.\r\n" );
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document.write( "Then Scott is 12*4 = 48 years old now.\r\n" );
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document.write( "You can easily check that this solution satisfies the condition.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "There is a bunch of lessons on age word problems \r
\n" ); document.write( "\n" ); document.write( "    - Age problems and their solutions\r
\n" ); document.write( "\n" ); document.write( "    - A fresh formulation of a traditional age problem\r
\n" ); document.write( "\n" ); document.write( "    - Really intricate age word problem\r
\n" ); document.write( "\n" ); document.write( "    - Selected age word problems from the archive\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solving age problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Age word problems\".\r
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