Question

sum of the digits of a two digit number is 9. If 27 is added to the number, the digits get reserved. Find the number.​

Answer 1

Step-by-step explanation:

Let the digits be x and y.

According to the question,

x + y = 9 ............ 1

10x + y + 27 = 10y + x

9x + 27 = 9y

9x - 9y = -27

9 ( x - y ) = -27

x - y = -3 ............... 2

From Equation 1 and 2 ,

we get x = 6 and y = 3

Therefore, the original number is 63.

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