document.write( "Question 642843: Two numbers are such that if 21 is added to the first,it becomes twice the second, whereas if 4 is added to the second it becomes twice the first. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #404246 by stanbon(75887) $\"\"$ $\"About$

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Two numbers are such that if 21 is added to the first,it becomes twice the second, whereas if 4 is added to the second it becomes twice the first. What are the numbers?
\n" ); document.write( "--------
\n" ); document.write( "Let the numbers be x and y
\n" ); document.write( "Equatiions:
\n" ); document.write( "x + 21 = 2y
\n" ); document.write( "y+4 = 2x
\n" ); document.write( "--------
\n" ); document.write( "Rearrange:
\n" ); document.write( "x - 2y = -21
\n" ); document.write( "2x - y = 4
\n" ); document.write( "-----
\n" ); document.write( "Modify:
\n" ); document.write( "2x - 4y = -42
\n" ); document.write( "2x - y = 4
\n" ); document.write( "-----------------
\n" ); document.write( "Subtract and solve for \"y\":
\n" ); document.write( "3y = 46
\n" ); document.write( "------------
\n" ); document.write( "y = 46/3
\n" ); document.write( "----
\n" ); document.write( "Solve for \"x\":
\n" ); document.write( "x - 2y = -21
\n" ); document.write( "x -2(46/3) = -21
\n" ); document.write( "x - 92/3 = -63/3
\n" ); document.write( "---
\n" ); document.write( "x = 29/3
\n" ); document.write( "===================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "================ \n" ); document.write( "

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