Question

If X Z Y + X Y Z = Y Z X. Find the three digits

Answer 1

If X, Y and Z are different it would be very hard

Answer 2

100X + 10Z + Y + 100X + 10Y + Z = 100Y+10Z + X

199X + Z = 89Y

Answer 3

wait so can they be the same?

Answer 4

https://in.answers.yahoo.com/question/index?qid=20140115062325AAtN1kl

Answer 5

so basically 199X + Z must be a multiple of 89

Answer 6

000,954

Answer 7

954 doesnt work..

Answer 8

199X + Z = 89Y

21X+Z = 89k

clearly, X must be atleast 4 :
X = 4, gives Z = 5

Answer 9

Other values of X give Z > 9, so the only solution is X=4, Z=5

Answer 10

does that work though @ganeshie8

Answer 11

X=4, Z=5

plug them in :
199X + Z = 89Y

you get Y = (199*4+5)/89 = 9

Answer 12

so X = 4, Y = 9, Z = 5 has to work, right ?

Answer 13

oh yea it does sorry

Answer 14

495+459=954

Answer 15

yya

Answer 16

i dont get this part...@ganeshie8 (Moderator)
199X + Z = 89Y
to
21X+Z = 89k

Answer 17

oh, ive skipped a step there, see if below looks fine :

199X + Z = 89Y

21X + 178X + Z = 89Y

21X + Z = 89Y - 178X
= 89(Y-2X)
= 89k