Question

XYZ + XYYA  = JOZKO

Find 4A + 5Z =

Find 5(X+Y) - 2A = ?​

Answer 1

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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