document.write( "Question 5480: a two digit number is 6 times its units digit. the sum of its digits is 3. Find the number.
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document.write( "thanks for the help! \n" );
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Algebra.Com's Answer #2834 by Abbey(339)![]() ![]() ![]() You can put this solution on YOUR website! Let x be the digit in the 10's column \n" ); document.write( "Let y be the digit in the one's column \n" ); document.write( "So in order to find the value of the number we multiply the x by 10 and add it to the y (think about the number 23... it represents the value (2*10) + 3) \n" ); document.write( "The number is written as 10x+y \n" ); document.write( "The sum of the two digits is 3: \n" ); document.write( "x+y=3 \n" ); document.write( "we can rewrite this by subtracting y from both sides as: \n" ); document.write( "x=3-y \n" ); document.write( "the number is 6 times the unit digit: \n" ); document.write( "(6y=10x+y) \n" ); document.write( "substitute the 3-y in for the x value and solve for y: \n" ); document.write( "6y = 10(3-y)+y \n" ); document.write( "6y = 30-10y+y \n" ); document.write( "6y=30-9y \n" ); document.write( "15y=30 \n" ); document.write( "y=2 \n" ); document.write( "if the sum of the digits is 3, then x=1 \n" ); document.write( "Our number is 12 \n" ); document.write( "check the answer: \n" ); document.write( "2+1=3 (true) \n" ); document.write( "12=6*2 (true) \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |