document.write( "Question 1062039: The sum of two consecutive numbers is 182 and their difference is 76. find the numbers \n" ); document.write( "

Algebra.Com's Answer #676806 by math_helper(2461) $\"\"$ $\"About$

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Let x be the larger of the two numbers
\n" ); document.write( "Let y be the smaller of the two numbers\r
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+y+=+182+\"$ (1)
\n" ); document.write( " $\"x+-+y++=+76+\"$ (2)\r
\n" ); document.write( "\n" ); document.write( "Add (1) to (2) to get the y's to cancel:
\n" ); document.write( " $\"++2x+%2B+0y+=+258+\"$
\n" ); document.write( " $\"++++x+=+129+\"$ —using (1) —> $\"+129+%2B+y+=+182+\"$ or $\"+y=+182+-+129+=+53+\"$ \r
\n" ); document.write( "\n" ); document.write( "—\r
\n" ); document.write( "\n" ); document.write( "Ans: the numbers are 53 and 129
\n" ); document.write( "—\r
\n" ); document.write( "\n" ); document.write( "Check: (using (2), we already used (1) to find y):
\n" ); document.write( " x-y = 76
\n" ); document.write( " 129 - 53 = 76 (ok)
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