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# If x and y are integers, what is the value of x + y?

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Math Expert
Joined: 02 Sep 2009
Posts: 54375
If x and y are integers, what is the value of x + y?  [#permalink]

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28 Jul 2017, 01:46
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Difficulty:

45% (medium)

Question Stats:

61% (01:13) correct 39% (01:16) wrong based on 85 sessions

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If x and y are integers, what is the value of (x + y)?

(1) x^y = 64.
(2) y^x = 36.

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Re: If x and y are integers, what is the value of x + y?  [#permalink]

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28 Jul 2017, 02:50
From Statement 1

x^y = 64
Possible values are 2^6 or 4^3 or 8^2 or 64^1
Hence NS

From Statement 2:-

y^x=36
Possible values are 6^2 or 36^1
Hence NS

Combining Statement 1 and Statement 2
we get x=2, y=6
x+y=6+2=8

Hence C
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Re: If x and y are integers, what is the value of x + y?  [#permalink]

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28 Jul 2017, 04:24
1
Bunuel wrote:
If x and y are integers, what is the value of (x + y)?

(1) x^y = 64.
(2) y^x = 36.

(1) (x,y) can take (2,6), (-2,6) (4,3) (64,1), (8,2), (-8,2).
Insufficient

(2) (y,x) can take (6,2) (-6,2), (36,1)
Insufficient

On combining (x,y) (2,6) can hold x+y will be 8

C
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Re: If x and y are integers, what is the value of x + y?   [#permalink] 28 Jul 2017, 04:24
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