document.write( "Question 218792: If Rita is eight years old, is twice as old as her sister. How old will Rita be when she is one and a four times as old as her sister?\r
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document.write( "I tried solving this problem but I don't get the concept. \n" );
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Algebra.Com's Answer #164708 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! If Rita is eight years old, is twice as old as her sister. How old will Rita be when she is one and a four times as old as her sister?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the amount of years that it takes for Rita to be 1 1/4, or \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since Rita is 8, and her sister's 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We'll therefore have: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "32 + 4y = 20 + 5y ----- Cross-multiplying \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4y - 5y = 20 - 32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "- y = - 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, in 12 years' time, Rita will be \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This would also mean that in 12 years' time, her sister will be 16 (4 + 12).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------- \n" ); document.write( "Check \n" ); document.write( "----------\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "20 = 20 (TRUE) \n" ); document.write( " |