document.write( "Question 100016: a no. consist of two digit whose sum is 9. if 9 is subtacted from the no.the digit interchange their places.find the no. \n" ); document.write( "

Algebra.Com's Answer #72833 by Nate(3500) $\"\"$ $\"About$

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Number: 10a + b
\n" ); document.write( "a + b = 9 or b = 9 - a
\n" ); document.write( "10a + b - 9 = 10b + a
\n" ); document.write( "Plug:
\n" ); document.write( "10a + b - 9 = 10b + a
\n" ); document.write( "10a + 9 - a - 9 = 10(9 - a) + a
\n" ); document.write( "10a + 9 - a - 9 = 90 - 10a + a
\n" ); document.write( "9a = 90 - 9a
\n" ); document.write( "18a = 90
\n" ); document.write( "a = 5
\n" ); document.write( "b = 9 - a = 9 - 5 = 4
\n" ); document.write( "Number: 10a + b = 10*5 + 4 = 54 \n" ); document.write( "

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