X Y Z
X Y Z
X Y Z
_____
Y Y Y
_____
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Answers
Given :-
X Y Z
X Y Z
X Y Z
_____
Y Y Y
_____
Solution :-
As we can see that, X Y Z and Y Y Y both are three digits numbers .
so, we can say that,
→ (X Y Z + X Y Z + X Y Z) = Y Y Y
→ 3(X Y Z) = Y Y Y
→ (X Y Z) = (Y Y Y / 3)
possible values of X Y Z when we put values of Y from 1 to 9,
- XYZ = 111/3 = 37 ≠ Not a three digit number .
- XYZ = 222/3 = 74 ≠ Not a three digit number .
- XYZ = 333/3 = 111
- XYZ = 444/3 = 148
- XYZ = 555/3 = 185
- XYZ = 666/3 = 222
- XYZ = 777/3 = 259
- XYZ = 888/3 = 296
- XYZ = 999/3 = 333
now, from these values , we can conclude that,
- Ten's digit of XYZ = YYY
- or, Y = Y .
As we can see that,
- XYZ = 444/3 = 148
therefore,
1 4 8
1 4 8
1 4 8
_____
4 4 4
_____
Note :- if given ,
- XYZ + XYZ + XYZ = ZZZ => check same unit digit 185 + 185 + 185 = 555 .
Learn more :-
(J+o+i+n+t)3 = joint find for what value of joint you will get the same numerical value as joint
( plz answer it )
https://brainly.in/question/42244559
Given :
X Y Z
X Y Z
X Y Z
_____
Y Y Y
To Find : Values of X , Y and Z
Solution:
X Y Z
X Y Z
X Y Z
_____
Y Y Y
=> 3 ( XYZ) = YYY
=> 3(100X + 10Y + Z) = 100Y + 10Y + Y
=> 3(100X + 10Y + Z) = 111Y
=> 100X + 10Y + Z = 37Y
=> 100X + Z = 27Y
=> 100X = 27Y - Z
Unit Digit of 100X is 0 Hence 7 * Y unit Digit must be same as of Z
Y = 1 => Z = 7 no integral Value of X
Y = 2 => Z = 4 no integral value of X
Y = 3 => Z = 1 no integral value of X
Y = 4 => Z = 8 => X = 1
Hence 148 + 148 + 148 = 444
Y = 5 => Z = 5 no integral value of X
Y = 6 => Z = 2 no integral value of X
Y = 7 => Z = 9 no integral value of X
Y = 8 => Z = 6 no integral value of X
Y = 9 => Z = 3 no integral value of X
1 4 8
1 4 8
1 4 8
_____
4 4 4
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