R4 R3 R2 R1

x x x x

y y y y

+ z z z z

---------------------------------

y x x x z

A4 A3 A2 A1

--------------------------------

FIRST EQ: FROM ROW R1

X+Y+Z=10+Z ------>(1)

FROM ROW R2:

X+Y+Z+1= X+10;

THEN Y+Z=9------->(2)

FROM ROW R3:

SAME AS ABOVE R2 Y+Z=-1;

FROM ROW R4:

HERE Y VALUE IS 1.

SUM OF X,Y,Z IS LESS THEN 20 WHY BECAUSE X,Y,Z VALUES ARE BELOW TEN AND NOT REPEATABLE.

*X+Y+Z<20 MEANS 20=10 SO WE CAN GET Y VALUE FROM

ROW R4 : Y IS THE CARRY OF (X+Y+Z+1) THIS IS LESS THEN 20 GREATER

THAN 10 SO WE CAN TAKE Y=1;

SUBSTITUTE Y VALUE IN EQ (1): X+Y+Z=Z+10;

1+X=10;

THEN

X=9;

THEN SUBSTITUTE Y VALUE IN EQ(2):

Y+Z=9:

1+Z=9;

THEN Z=8:

RESULT IS:X=9,Y=1,Z=8.