document.write( "Question 805551: it is an odd number with three digits. All the digit are different and add up to 12. He difference between the first two digits equals the difference between the last two digits. What is the number? \n" ); document.write( "
Algebra.Com's Answer #485340 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! it is an odd number with three digits. \n" ); document.write( "a, b, c \n" ); document.write( ": \n" ); document.write( " All the digit are different and add up to 12. \n" ); document.write( "a + b + c = 12 \n" ); document.write( ": \n" ); document.write( "He difference between the first two digits equals the difference between the last two digits. \n" ); document.write( "a - b = b - c \n" ); document.write( "a = 2b - c \n" ); document.write( "2b = a + c \n" ); document.write( ": \n" ); document.write( "We can replace a + b in the 1st equation with 2b \n" ); document.write( "2b + b = 12 \n" ); document.write( "3b = 12 \n" ); document.write( "b = 4 \n" ); document.write( "therefore \n" ); document.write( "2(4) = a + c \n" ); document.write( "a + c = 8 \n" ); document.write( ": \n" ); document.write( " What is the number? 741, only odd number that works \n" ); document.write( " |