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Question

abc is a three digit number. This three digit number is reversed and subtracted from the original number. The difference obtained is 396. Find (a-c).

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Solution

Here, abc is a 3-digit number.

General form of abc = 100a + 10b + c ... (i)

Number obtained by reversing the digits is cba.

General form of cab = 100c + 10b + a ... (ii)

Subtracting (ii) from (i)
(100a+10b+c)(100c+10b+a)
=(1001)a+(1010)b+(1100)c
=99a99c
=99(ac)

Given: 99(ac)=396
ac=39699=4

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