Latest Infosys Aptitude Question SOLUTION: KANSAS+OHIO = OREGON

497292+5865=503157 K=4, A=9, N=7, S=2, O=5, H=8, I=6, R=0, G=1

any one explain the solution

KANSAS
OHIO
------------
OREGON
------------
starting from left, A results into R hence there must a carry over, so A+1=R, then further K+1=O, which says k and 0 are consecutive as well as A and R is consecutive.
A must be 9 because then only we can generate a carry. => R=0
Now K can have values=7,6,5,4,3,2,1
By hit and trial we find k's value to be 4=>k=4
now O will be 5.
Resulting into 4 9 N S 9 5
5 H I 5
----------------
5 0 E G 5 N
----------------
now 9+I=5, and there must be no carry over because then I would be 4 which is not possible hence I must be 6=>9+6=15
I=6
deducing S's value, as there is no carry generation, S can have values= 1,2,3
But giving it 1 will make N=6, which is not possible hence we take it as 2
assume S=2
now, 4 9 7 2 9 2
5 H 6 5
-----------------
5 0 E G 5 N
-----------------
N=>7
for E, 7+5+1(carry over), if there is no carry then E would be 2 which is not possible, hence E=3
H can have values= 1,8
but there must be a carry hence H=8
then G becomes 1

answer: A=9, k=4, O=5,N=7,S=2, H=8, I=6, E=3, R=0, G=1

498393+5765=504158 K=4,A=9,N=8,S=3,O=5,H=7,I=6,R=0,E=4,G=1,N=8.

'k': 4, 'h': 8, 'g': 1, 'o': 5, 'i': 6, 'n': 7, 's': 2, 'e': 3, 'a': 9, 'r': 0 check for authentication

KANSAS+OHIO=OREGON
given the value of O=5
KANSAS=497292
OHIO=5865
OREGON=503157
G+R+O+S+S=1+0+5+2+2=10

R-0,S-1,H-2,G-4,E-5,K-6,O-7,N-8,A-9
698191+7287=705478