document.write( "Question 257485: if a number of two digits is divided by th number obtained after reversing the digits, we get 2.08 , if the sum of the digit is 7, find the number. \n" ); document.write( "

Algebra.Com's Answer #189406 by drk(1908) $\"\"$ $\"About$

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Let the original number be expressed as
\n" ); document.write( " $\"10t+%2B+u\"$
\n" ); document.write( "When you reverse the digits, you get
\n" ); document.write( " $\"10u+%2B+t\"$
\n" ); document.write( "Now the quotient = 2.08 as
\n" ); document.write( " $\"%2810t%2Bu%29%2F%2810u%2Bt%29+=+2.08\"$
\n" ); document.write( "We also know that t + u = 7, so t = 7-u. We get
\n" ); document.write( " $\"%2810%2A%287-u%2Bu%29%29%2F%2810u%2B7-u%29+=+2.08\"$
\n" ); document.write( "This gives us
\n" ); document.write( " $\"%2870-9u%29%2F%289u%2B7%29+=+2.08\"$
\n" ); document.write( "cross multiplying, we get
\n" ); document.write( " $\"70-9u+=+18.72u+%2B+14.56\"$
\n" ); document.write( "solving for u, we get
\n" ); document.write( " $\"55.44+=+27.72u\"$
\n" ); document.write( " $\"u+=+2\"$
\n" ); document.write( " $\"t+=+5\"$
\n" ); document.write( "original number is 52
\n" ); document.write( "reversed number is 25.
\n" ); document.write( "quotient is 2.08 \n" ); document.write( "

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