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.


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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 deleteduser1 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

	$g r e a t$
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