document.write( "Question 1119821: My current age is 4 times what my sister's age was 20 years ago. i am now twice as old as i was 20 years ago. ten years ago, my sister's age was 1/2 of my current age. ten years ago, my age was 1.5 times my sister's age. what is my current age? \n" ); document.write( "

Algebra.Com's Answer #735460 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "1.  This statement \"i am now twice as old as i was 20 years ago\" implies that your current age is 40 years.\r\n" );
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document.write( "    So, it is just your answer to the problem's question.\r\n" );
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document.write( "    The rest is simply to check that there is no contradictions with the remaining statements.\r\n" );
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document.write( "2.  If so, then the statement \"My current age is 4 times what my sister's age was 20 years ago\"  implies \r\n" );
document.write( "    that your sister age 20 years ago was 10 years; hence, her age is 30 years now.\r\n" );
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document.write( "3.  \"ten years ago, my sister's age was 1/2 of my current age\" - Correct.\r\n" );
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document.write( "4.  \"ten years ago, my age was 1.5 times my sister's age.\"  - Correct.\r\n" );
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\n" ); document.write( "\n" ); document.write( "So, again: the only statement \"i am now twice as old as i was 20 years ago\" is just enough to answer the problem question.\r
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\n" ); document.write( "\n" ); document.write( "The rest of the statements add NOTHING to get the answer.\r
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\n" ); document.write( "\n" ); document.write( "They only need your care to check if there is no contradiction with the answer.\r
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