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

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199

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198

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Solution

The correct option is D 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 $\times$ 2 = 198.

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

The correct option is D 198The 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.