document.write( "Question 970051: The Sum of Two Digits Number is same as its product. find the Number?
\n" ); document.write( "Ans is 22 but I dont know how it comes.
\n" ); document.write( "

Algebra.Com's Answer #592791 by MathTherapy(10858)\"\" \"About 
You can put this solution on YOUR website!
The Sum of Two Digits Number is same as its product. find the Number?
\n" ); document.write( "Ans is 22 but I dont know how it comes.
\n" ); document.write( "
Let number’s tens and units digits be T and U, respectively
\n" ); document.write( "Then: T + U = TU
\n" ); document.write( "TU – T = U
\n" ); document.write( "T(U – 1) = U
\n" ); document.write( "\"T+=+U%2F%28U+-+1%29\"\r
\n" ); document.write( "\n" ); document.write( "In order for T to be an integer > 0 in the above equation, U – 1 MUST BE 1.
\n" ); document.write( "We then get: U - 1 = 1
\n" ); document.write( "U = 1 + 1, or \"highlight%28U+=+2%29\"\r
\n" ); document.write( "\n" ); document.write( "We then get:
\n" ); document.write( "\"T+=+2%2F%282+-+1%29\", or \"2%2F1\", or \"highlight%28T+=+2%29\"\r
\n" ); document.write( "\n" ); document.write( "Therefore, T = 2, and U = 2
\n" ); document.write( "Number: \"highlight_green%2822%29\" \n" ); document.write( "
\n" );