we-have-three-digit-number-like-XYZ-that-X-Y-Z-16-if-we-replace-X-by-Z-then-it-will-be-changed-to-ZYX-number-that-ZYX-XYZ-594-find-XYZ-number-

Question Number 192047 by sciencestudentW last updated on 06/May/23

w e h a v e t h r e e d i g i t n u m b e r l i k e X Y Z

t h a t X + Y + Z = 16, i f w e r e p l a c e X b y Z

t h e n i t w i l l b e c h a n g e d t o Z Y X n u m b e r

t h a t Z Y X = X Y Z - 594

f i n d X Y Z n u m b e r .

Answered by AST last updated on 08/May/23

100 Z + 10 Y + X - 100 X - 10 Y - Z = - 594

\Rightarrow 99 Z - 99 X = - 594 \Rightarrow Z - X = - 6 \Rightarrow X - Z = 6

\Rightarrow (X, Z) = (9, 3), (8, 2), (7, 1)

\Rightarrow Y = 4, 6 o r 8

\Rightarrow X Y Z = 943, 862 o r 781

Commented by sciencestudentW last updated on 07/May/23

g r e a t