document.write( "Question 449965: There is a number between 10 and 100: when multiplied by the digit on the left the product is 280: if the sum of the digits be multiplied by the same digit the product is 55: find the number. \n" ); document.write( "
Algebra.Com's Answer #309535 by sudhanshu_kmr(1152)\"\" \"About 
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\n" ); document.write( "Let assume number is 10x+y i.e x at 10s place, y at unit place.\r
\n" ); document.write( "\n" ); document.write( "(10x+y)*x = 280\r
\n" ); document.write( "\n" ); document.write( "(x+y)*x = 55\r
\n" ); document.write( "\n" ); document.write( " 55 = 5*11 ( only two factor) so, it is clear that x= 5\r
\n" ); document.write( "\n" ); document.write( "(x+y) = 11 so, y = 6\r
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\n" ); document.write( "\n" ); document.write( "required number is : 56\r
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