Let A = the number be abc Let B = the reverse cba Now write he value of each number (1) A = 100*a + 10*b + c and (2) B = 100*c + 10*b + a Now get the differnce, D, (3) D = 100*a + 10*b + c - 100*c - 10*b - a or (4) D = 100*(a - c) + (c - a) or (5) D = 100*(a - c) - (a - c) or (6) D = 99*(a - c) Answer: The greatest number that divides the difference of a 3 digit number and its reverse i
Aug 31, 2018 08:35