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Math Expert V
Joined: 02 Sep 2009
Posts: 58954
Each of the x, y and z represents a positive digit and x + y = z. If x  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 70% (01:49) correct 30% (01:13) wrong based on 20 sessions

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Each of the x, y and z represents a positive digit and x + y = z. If x < y, what is the value of y?

(1) z = 9
(2) y – x < 2

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VP  D
Joined: 20 Jul 2017
Posts: 1044
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: Each of the x, y and z represents a positive digit and x + y = z. If x  [#permalink]

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Bunuel wrote:
Each of the x, y and z represents a positive digit and x + y = z. If x < y, what is the value of y?

(1) z = 9
(2) y – x < 2

(1) z = 9
Possible values of (x, y) = {(1,8), (2,7), (3,6), (4,5)}
—> Different values of y are possible —> Insufficient

(2) We do not know the value of z. So many values of y are possible—> Insufficient

Combining (1) & (2),
Since y - x < 2 and y > x
—> y - x = 1

Only possible value of (x, y) = (4, 5)
—> y = 5 —> Sufficient

IMO Option C

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Intern  B
Joined: 15 Aug 2018
Posts: 11
Re: Each of the x, y and z represents a positive digit and x + y = z. If x  [#permalink]

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Each of the x, y and z represents a positive digit and x + y = z. If x < y, what is the value of y?

(1) z = 9
(2) y – x < 2

Calling a number a digit qualifies it to be an Integer?
Math Expert V
Joined: 02 Aug 2009
Posts: 8140
Re: Each of the x, y and z represents a positive digit and x + y = z. If x  [#permalink]

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Jashan25 wrote:
Each of the x, y and z represents a positive digit and x + y = z. If x < y, what is the value of y?

(1) z = 9
(2) y – x < 2

Calling a number a digit qualifies it to be an Integer?

Yes..
If we say a is a digit, it means a can be 0, 1,2, 3, 4, 5, 6,7 ,8 or 9 only and all these are integers too..
_________________ Re: Each of the x, y and z represents a positive digit and x + y = z. If x   [#permalink] 22 Oct 2019, 19:21
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# Each of the x, y and z represents a positive digit and x + y = z. If x  