Question

the sum of digit of a two digit number is 9 when we interchanging the digits it is found that the resulting new number is greater than original number by 27 what is the two digit number

Answer 1

the solution is the following

Answer 2

Answer:

Step-by-step explanation:

Hey friend,

Here is the answer you are searching for,

Let the digits be x,y

Given,

x+y = 9

=> y = 9-x

Let the original number be (10y + x),

New number be (10x + y),

Also given,

(10y + x) + 27 = (10x + y)

By taking y as (9-x),

=> 10(9-x)+x+27 = 10x+9-x

=> 90-10x+x+27 = 9x+9

=> 117-9x = 9x+9

=> 18x = 108

=> x = 108/18 = 6

=> y = 9-6 = 3

Therefore,

Digits = 3,6

=> Original number = 36

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