document.write( "Question 580434: If a two – digit number is divided by the sum of its digits, the quotient is 7. If the number expressed by the same digits in reverse order is divided by the sum of its digits, the quotient is 4. Find the number. \n" ); document.write( "

Algebra.Com's Answer #371247 by KMST(5328) $\"\"$ $\"About$

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Ia is the tens digit and b is the ones digit:
\n" ); document.write( "The number is
\n" ); document.write( " $\"10a%2Bb=7%28a%2Bb%29\"$
\n" ); document.write( "The number with the digits in reverse order is
\n" ); document.write( " $\"10b%2B4=4%28a%2Bb%29\"$
\n" ); document.write( "Unfortunately, both equations simplify to $\"a=2b\"$ , and there would be infinite solutions for that equation. However, a and b are digits, so the solutions are limited to (a,b) being (2,1), (4,2), (6,3), and (8,4).
\n" ); document.write( "@!,42,63, and 84 are all solutions
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