document.write( "Question 32104: 1. A number consists of two digits whose sum is 10 . If 72 be subtracted from the number , the digits are reversed . find the number ? 2. Two kg of sugar and 1/2 kg of tea cost Rs.32 and 3 kg of sugar and 1 kg of tea cost Rs.59. Find the cost of 1 kg of tea 1kg of sugar ? \n" ); document.write( "
Algebra.Com's Answer #18666 by mukhopadhyay(490)![]() ![]() ![]() You can put this solution on YOUR website! Let the number be 10x+y \n" ); document.write( "x+y=10; \n" ); document.write( "10x+y-72=10y+x \n" ); document.write( "=>9x-9y=72 \n" ); document.write( "=>x-y=8; \n" ); document.write( "We need to solve for x and y from the following equations: \n" ); document.write( "x+y=10 \n" ); document.write( "x-y=8 \n" ); document.write( "Adding above: \n" ); document.write( "2x=18 \n" ); document.write( "=>x=9 \n" ); document.write( "y=10-x=1 \n" ); document.write( "So, the original number is 91 \n" ); document.write( " |