If XX+YY=ZYZ, what are the values for X, Y and Z?  TOPIC_SOLVED

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If XX+YY=ZYZ, what are the values for X, Y and Z?

Postby zackattack on Mon May 18, 2009 6:55 pm

If XX+YY=ZYZ, what are the values for X, Y and Z?
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Postby stapel_eliz on Fri May 22, 2009 5:07 pm

Since the result for X + Y in the ones column is not the same as the X + Y for the tens column, there must be a "carry", so X + Y = 10 or more. But X + Y cannot equal 10 itself, since then Z = 0, and you can't have a leading zero. You know that X + Y must be 17 or less, since X and Y are different numbers, and 8 + 9 = 17.

Since you're adding two 2-digit numbers and getting a 3-digit number, there must be an additional "carry" when you add the X + Y + 1 in the tens column. The minimum value of X + Y is 11, and the maximum is 17, so the minimum and maximum for X + Y + 1 are 12 and 18. What is Z, in either case?

Then what must be X + Y? ...and so forth. :wink:
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Re: If XX+YY=ZYZ, what are the values for X, Y and Z?

Postby zackattack on Sat May 23, 2009 1:55 am

is X=5,Y=6 or X=6,Y=5?
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Postby stapel_eliz on Sat May 23, 2009 12:48 pm

Um... neither. :oops:

Check those values in the addition. Will they give you a correct value in the middle of ZYZ?
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Re: If XX+YY=ZYZ, what are the values for X, Y and Z?  TOPIC_SOLVED

Postby zackattack on Sun May 31, 2009 12:25 am

z=1
11=2+9=3+8=4+7=5+6
2+9 works
99+22=121
is that rite?
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Postby stapel_eliz on Sun May 31, 2009 11:56 am

If it works, it's right! :wink:
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Re: If XX+YY=ZYZ, what are the values for X, Y and Z?

Postby zackattack on Wed Jun 03, 2009 1:23 pm

oky thnx
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