document.write( "Question 603822: the sum of a 2-digit number and the 2-digit number when the digits are reversed are 77 and the difference is 45. what are the 2 two digit numbers \n" ); document.write( "
Algebra.Com's Answer #380926 by ankor@dixie-net.com(22740)\"\" \"About 
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the sum of a 2-digit number and the 2-digit number when the digits are reversed are 77 and the difference is 45.
\n" ); document.write( " what are the 2 two digit numbers
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\n" ); document.write( "a = original 10's digit
\n" ); document.write( "b = units
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\n" ); document.write( "(10a+b) + (10b+a) = 77
\n" ); document.write( "11a + 11b = 77
\n" ); document.write( "simplify, divide by 11
\n" ); document.write( "a + b = 7
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\n" ); document.write( "\"the difference is 45.\"
\n" ); document.write( "(10a+b) - (10b+a) = 45
\n" ); document.write( "10a - a - 10b + b = 45
\n" ); document.write( "9a - 9b = 45
\n" ); document.write( "Simplify, divide by 9
\n" ); document.write( "a - b = 5
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\n" ); document.write( "Use elimination here
\n" ); document.write( "a + b = 7
\n" ); document.write( "a - b = 5
\n" ); document.write( "-----------adding eliminates b, find a
\n" ); document.write( "2a = 12
\n" ); document.write( "a = 6
\n" ); document.write( "then
\n" ); document.write( "6 + b = 7
\n" ); document.write( "b = 7 - 6
\n" ); document.write( "b = 1
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\n" ); document.write( "61 is the number
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\n" ); document.write( "Check 61 + 16 = 77 \n" ); document.write( "
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