document.write( "Question 473650: find the smallest number so that if 2 is added to twice the number,its digits are reversed. \n" ); document.write( "

Algebra.Com's Answer #324984 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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find the smallest number so that if 2 is added to twice the number,
\n" ); document.write( "its digits are reversed.
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\n" ); document.write( "Let x = the original no. 10's digit
\n" ); document.write( "Let y = the units
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\n" ); document.write( "The equation:
\n" ); document.write( "2(10x+y) + 2 = 10y + x
\n" ); document.write( "20x + 2y + 2 = 10y + x
\n" ); document.write( "20x - x + 2 = 10y - 2y
\n" ); document.write( "19x + 2 = 8y
\n" ); document.write( "y = $\"19%2F8\"$ x + $\"2%2F8\"$
\n" ); document.write( "y = $\"19%2F8\"$ x + $\"1%2F4\"$
\n" ); document.write( "substitute single digit values for x, starting with 1, you can see that x=2 gives an integer value of y = 5
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\n" ); document.write( "The original number is 25, and it checks out 2(25) + 2 = 52 \n" ); document.write( "

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