XYZ + XYYA = JOZKO
Find 4A + 5Z =
Find 5(X+Y) - 2A = ?
Answers
Given : XYZ + XYYA = JOZKO
To Find : 4A + 5Z =
5(X+Y) - 2A =
Solution:
XYYA
+ XYZ
_________
JOZKO
Here sum of 4 digits and 3digit resulting in 5 digit number
Here J Must be 1
O Must be 0 and X must be 9
9YYA
+ 9YZ
_________
10ZK0
1 , 0 and 9 digits are already used
A = 2 , Z = 8 A = 3 , Z = 7 , A = 4 , Z = 6 or vice versa
A = 2 , Z = 8
9882
+ 988
_________
10870
Z and Y got same value
A =3 , Z = 7
9773
+ 977
_________
10750
Z and Y got same value
A =4 , Z = 6
9664
+ 966
_________
10630
Z and Y got same value
A =6 , Z = 4
No feasible solution
A =7 , Z = 3
9447
+ 943
_________
10390
X and K got the same value
A =8 , Z = 2
9338
+ 932
_________
10270
All Satisfied
X = 9 Y = 3 Z = 2
A = 8 , J = 1 O = 0 K = 7
4A + 5Z = 32 + 10 = 42
5(X+Y) - 2A = = 60 - 16 = 44
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