Question

the sum of the digits of a two digit number is 10 . the number obtained by interchanging its digits is 1 less than thrice the original number .find the number.​

Answer 1

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Answer 2

Let the number be 10x+y.

x+y = 9, or x = 9-y …(1)

(10y+x) = 3(10x+y)-9 or

10y+x = 30x+3y-9

29x = 7y+9

29(9-y) = 7y+9

261 - 29y = 7y + 9

252 = 36y

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y = 252/36 = 7

x = 9–7 = 2

So the number is 27.