Question

If
x, y, zare integers in A. P lying
between 1&9 and 251, y41, 231 are
three digited number then
5 4 3
x51 441 231
х
Y
z
(A) X
(B) y
(C) Z
(D) 0​

Answer 1

Answer:

∣

5

100x+50+1

x

4

100y+40+1

y

3

100z+30+1

z

∣

∣

∣

∣

∣

∣

∣

∣

R

2

→R

2

−100R

3

−10R

2

∣

∣

∣

∣

∣

∣

∣

∣

5

1

x

4

1

y

3

1

z

∣

∣

∣

∣

∣

∣

∣

∣

C

1

→C

1

−C

2

C

2

→C

2

−C

3

∣

∣

∣

∣

∣

∣

∣

∣

1

0

x−y

1

0

y−z

3

1

z

∣

∣

∣

∣

∣

∣

∣

∣

−1(y−z−x+y)

−(2y−x−z)=0

therefore the answer is zero