document.write( "Question 888009: The tens digit of a two digit number exceeds the units digits by 4. If the digits are reversed, the sum of the new number and the original number is 154. Find the original number. \n" ); document.write( "

Algebra.Com's Answer #537061 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let a = the 10's digit
\n" ); document.write( "let b = the units
\n" ); document.write( "then
\n" ); document.write( "10a + b = \"the number\"
\n" ); document.write( "\"
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "\"The tens digit of a two digit number exceeds the units digits by 4.\"
\n" ); document.write( "a = b + 4
\n" ); document.write( ":
\n" ); document.write( "\" If the digits are reversed, the sum of the new number and the original number is
\n" ); document.write( "(10b+a) + (10a+b) = 154
\n" ); document.write( "Combine like terms
\n" ); document.write( "10a + a + 10b + b = 154
\n" ); document.write( "11a + 11b = 154
\n" ); document.write( "Simplify, divide equation by 11
\n" ); document.write( "a + b = 14
\n" ); document.write( "replace a with (b+4)
\n" ); document.write( "b + 4 + b = 14
\n" ); document.write( "2b = 14 - 4
\n" ); document.write( "2b = 10
\n" ); document.write( "b = 5
\n" ); document.write( "then
\n" ); document.write( "a = 9
\n" ); document.write( " Find the original number. 95
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "Check this: 59 + 95 = 154 \n" ); document.write( "

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