Question

sum of the digits of a two digit number is 9 . when we interchange the digits ,it is found that the resulting new number is greater than the original number by 27 . what is the two digit number .
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Answer 1

Answer:

36

Step-by-step explanation:

Answer 2

Answer:

36

Step-by-step explanation:

let digit are x and y

then:::

x+y=9  ---eq 1

now we have interchanged digit the it will be 10y and x

so first the number was 10x+y

10y+x>10x+y(((acording to question))

now:

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

9y-9x=27

y-x=3

x-y=  -3---eq 2

solve eq 1 and 2

x+y=9

x-y=-3                        then x=3

y= 6 two digit number ==36 or 63