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Question

A three digit number has digits h, t, u (from left to right) with h>u. If the digits are reversed and the number thus formed is subtracted from the original number, the unit's digit in the resulting number is 4. What are the other two digits of the resulting number from left to right?

A
5 and 9
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B
9 and 5
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C
5 and 4
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D
4 and 5
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Solution

The correct option is B 5 and 9
Let x be the number of three digits and y be the one got after reversing the digits of x, then we know that (xy) is always divisible by 99.
Since the unit digit of the required number is 4 so it has to be 99×6=594. Thus, the other two digits are 5 and 9.

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