Question

The sum of the digits of a two digit number is 5. On adding 27 to the number it's digits are reversed.Find the original number

Answer 1

Here, let us assume unit digit be x.

Ten's digit will be 5-x.

So, Number = 10(5-x) +x = 50-10x+x = 50-9x

Now , As per the question,

50- 9x + 27 = 10x+ (5-x)

77 - 9x = 9x + 5

18x = 72

x = 4.

Thus, Unit digit = 4

Ten's will be 5-4 = 1.

And, no. will be 14.

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