SOLUTION: A four digit integer, WXYZ, in which w, x, y and z each represent a different digit, is form according to the following rules.
X = W + Y + Z
W = Y + 1
Z = W - 5
WHAT IS THE
Algebra ->
Matrices-and-determiminant
-> SOLUTION: A four digit integer, WXYZ, in which w, x, y and z each represent a different digit, is form according to the following rules.
X = W + Y + Z
W = Y + 1
Z = W - 5
WHAT IS THE
Log On
Question 1169589: A four digit integer, WXYZ, in which w, x, y and z each represent a different digit, is form according to the following rules.
X = W + Y + Z
W = Y + 1
Z = W - 5
WHAT IS THE FOUR-DIGIT NUMBER? Answer by ikleyn(52863) (Show Source):
Let turn on our common sense.
Z = W - 5 must be non-negative.
It means that W is at least 5.
In turn, it means that Y is at least 4 (since W = Y+1)
And since X = W + Y + Z, it implies that
W = 5; Y = 4; Z = 0; X = 9.
ANSWER. The number is WXYZ = 5940.
