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Question

ABC is a 3-digit number and A - C = 2. The difference beween ABC and the number obtained by reversing its digits is ______.


A
99
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B
198
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C
199
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D
98
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Solution

The correct option is B 198

The 3-digit number ABC can be written as 100A + 10B + C.

Similarly, CBA can be written as 100C + 10B + A.

Difference
= (100A + 10B + C) - (100C + 10B + A)

= 100A + 10B + C - 100C - 10B - A

= 99 (A - C)

It is given that A - C = 2.

Therefore, difference = 99 × 2 = 198.


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