Question

The sum of two digit number digits is 9 if the new number received by changing the number of digits is 27 more than the original number then find the original number

Answer 1

let atfast number is 10x+y
next time number is 10y+x
then we have10x+y=10y+x-27
from here you get x-y=-3
from the question you get x+y=9
solving two equations you get x=3 and y=6
thus original number is 36