Question

Sum of the two digit number is 9. If the digits are reversed the new number so formed by 27. Find the number ​

Answer 1

Answer:

Original = 63

Reversed = 36

Step-by-step explanation:

Let the digits are x and y .

means x+y=9, so y=9-x

and the number is 10x + y.

if the digits are reversed then the new number will be 10y+x

according to question

10x+y=10y+x+27

10x-x=10y-y+27

9x=9y+27

9x=9(9-x)+27 (put value of y given above)

9x=81-9x+27

9x+9x=81+27

18x=108

x=108/18

x=6

and y=9-x=9-6=3

so, original number=10x+y

=63

and other number =10y+x

=36