document.write( "Question 817707: [ The sum of the digits of a two-digit number is 13. When the digits are reversed, the new number is 27 more than the original number. What is the original number. ] \n" ); document.write( "

Algebra.Com's Answer #492157 by TimothyLamb(4379) $\"\"$ $\"About$

You can put this solution on YOUR website!
10b + a = N
\n" ); document.write( "10a + b = N + 27
\n" ); document.write( "10a + b - 27 = N
\n" ); document.write( "---
\n" ); document.write( "a + b = 13
\n" ); document.write( "a = 13 - b
\n" ); document.write( "---
\n" ); document.write( "10b + a = 10a + b - 27
\n" ); document.write( "9b = 9a - 27
\n" ); document.write( "9b = 9(13 - b) - 27
\n" ); document.write( "9b = 117 - 9b - 27
\n" ); document.write( "18b = 90
\n" ); document.write( "---
\n" ); document.write( "b = 5
\n" ); document.write( "a = 8
\n" ); document.write( "---
\n" ); document.write( "N = 58
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Convert fractions, decimals, and percents:
\n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php
\n" ); document.write( "---
\n" ); document.write( "Calculate and graph the linear regression of any data set:
\n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( "

\n" );