document.write( "Question 48842: the sum of two numbers is 90. The second is 10 more than 4 times the first. What are the two numbers. \r
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Algebra.Com's Answer #32343 by atif.muhammad(135) $\"\"$ $\"About$

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The sum of two numbers is 90.  The second is 10 more than 4 times the first.  What are the two numbers.  \r\n" );
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document.write( "Let one of the numbers be x and the other y.\r\n" );
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document.write( "The sum of two numbers is 90      -------         x + y = 90\r\n" );
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document.write( "The second is 10 more than 4 times the first ----------      y = 4x + 10\r\n" );
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document.write( "We now have a pair of simultaneous equations\r\n" );
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document.write( "x + y = 90....(1)\r\n" );
document.write( "y = 4x + 10...(2)\r\n" );
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document.write( "Substitute (2) into (1)\r\n" );
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document.write( "x + (4x + 10) = 90\r\n" );
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document.write( "5x + 10 = 90\r\n" );
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document.write( "5x = 80\r\n" );
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document.write( "x = 16\r\n" );
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document.write( "y = 4x + 10 = 4 x 16 + 10 = 64 + 10 = 74\r\n" );
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document.write( "Hence, our two numbers are 16 and 74.\r\n" );
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