document.write( "Question 1181713: Toby is n years old and Adrian is d years younger than Toby.
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document.write( "Write down a formula for S where S years is the sum of their ages. \n" );
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Algebra.Com's Answer #811614 by Theo(13342)![]() ![]() You can put this solution on YOUR website! n = toby's age. \n" ); document.write( "n - d = adrian's age. \n" ); document.write( "the sum of their ages is equal to n + n - d = 2n - d \n" ); document.write( "when the sum of their ages is equal to S, that formula is S = 2n - d \n" ); document.write( "when S = 5, that formula becomes 5 = 2n - d \n" ); document.write( "that should be your answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "please keep in mind that, if the sum of their ages is 5, then there is a limit for the value of n.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that limit is that n can only be between 2.5 and 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when n = 2.5, then 5 = 2n - d becomes 5 = 5 - d which makes d = 0 \n" ); document.write( "when n = 5, then 5 = 2n - d becomes 5 = 10 - d which makes d = 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if n is less than 2.5, say 2, then S = 2n - d becomes S = 4 - d which makes d = negative which means that adrian is older than toby which can't be.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if n is greater than 5, then the sum of their ages can only be 5 if adrian's age is less than 0 which can't be.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula is good, but only if n is between 2.5 and 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "just keep in mind that there are limits to the value of n for the answer to be valid because toby's age and adrian's age must both be greater than or equal to 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "those limits are that n can only be between 2.5 and 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since they only asked you for the formula, then your answer is that the formula is 5 = 2n - d\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |