Question

the greatest number that always divides the difference between a three digit number and the number formed by reversing the digits is​

Answer 1

Answer:

99

Step-by-step explanation:

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 is 99

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Answer 2

Step-by-step explanation:

here you go thank you