document.write( "Question 123165: the sum of the digits of a two digit number is 16. if the digits were reversed, and the new number were added to the original number the sum would be 176. find the original number. \n" ); document.write( "
Algebra.Com's Answer #90405 by ankor@dixie-net.com(22740)\"\" \"About 
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he sum of the digits of a two digit number is 16. if the digits were reversed, and the new number were added to the original number the sum would be 176. find the original number.
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\n" ); document.write( "This is an interesting problem.
\n" ); document.write( "Any pair of single digits which add up to 16 will work
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\n" ); document.write( "Let the number be 10x + y
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\n" ); document.write( "Reversing the digits and adding:
\n" ); document.write( "(10y + x) + (10x + y) = 176
\n" ); document.write( "11x + 11y = 176
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\n" ); document.write( "Simplify, divide equation by 11
\n" ); document.write( "x + y = 16
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\n" ); document.write( "79 + 97 = 176
\n" ); document.write( "or
\n" ); document.write( "88 + 88 = 176
\n" ); document.write( "or
\n" ); document.write( "97 + 79 = 176 \n" ); document.write( "
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