document.write( "Question 1099035: two numbers are in the ratio 2 to 7 and their product is 126. what is the larger number?
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Algebra.Com's Answer #713443 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "You may consider another logic/solution.\r\n" );
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document.write( "If the numbers are in the ratio 2 to 7, it means that one number is 2x, while another number is 7x, where x is an unknown factor.\r\n" );
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document.write( "Then the product of these numbers is  (2x)*(7x) = 14x^2.\r\n" );
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document.write( "At the same time, the product is 126, according to the condition.  \r\n" );
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document.write( "It gives you an equation  14x^2 = 126.\r\n" );
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document.write( "Hence,  x^2 =  = 9.\r\n" );
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document.write( "It implies  x = +/-  = +/- 3.\r\n" );
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document.write( "If x = 3,   then your answer is: the two numbers are  2*3 = 6  and  7*3 = 21.\r\n" );
document.write( "                          The greatest of the two numbers is 21.\r\n" );
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document.write( "If x = -3,  then your answer is: the two numbers are  2*(-3) = -6  and  7*(-3) = -21.\r\n" );
document.write( "                          In this case the greatest of the two numbers is -6.\r\n" );
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document.write( "Answer.  There are two answers to the problem's question: -6  and  21.\r\n" );
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