Number System

Math and Mental Ability

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A number consists of three digits of which the middle one is zero and their sum is 4. If ‘the number formed by interchanging the first and last digits is greater than the number itself by 198, then the difference between the first and last digits is

Explanation:

Correct Option is 2: 2

Given:
A number consists of three digits of which the middle one is zero and their sum is 4. If the number formed by interchanging the first and last digits is greater than the number itself by 198.
Calculations:
Let the number be 100x + 10y + z
Then the number of reversed digit will be 100z + 10y + x
According to the question
100z + x - (100x + z) = 198
(y = 0)
99z - 99x = 198
Z-x=2
:. The difference of the 1st and last digit is 2.

By: Amit Kumar

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