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Math Expert V
Joined: 02 Sep 2009
Posts: 61385
What is the value of x + y? (1) When x is multiplied by 6, the result  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 80% (01:30) correct 20% (01:37) wrong based on 9 sessions

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What is the value of x + y?

(1) When x is multiplied by 6, the result is between 40 and 50, and when y is multiplied by 4 the result is between 20 and 30.

(2) x and y are distinct integers.

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What is the value of x + y? (1) When x is multiplied by 6, the result  [#permalink]

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Bunuel wrote:
What is the value of x + y?

(1) When x is multiplied by 6, the result is between 40 and 50, and when y is multiplied by 4 the result is between 20 and 30.

(2) x and y are distinct integers.

Question: x+y = ?

Statement 1: When x is multiplied by 6, the result is between 40 and 50, and when y is multiplied by 4 the result is between 20 and 30.

40 < 6x < 50
i.e. 6.66 < x < 8.33

20 < 4y < 30
i.e. 5 < y < 7.5

NOT SUFFICIENT

Statement 2: x and y are distinct integers

NOT SUFFICIENT

Combining the two statements
x = {7, 8}
y = {6, 7}

But since x and y are distinct therefore
x = 8
y = 6
i.e. x+y = 14

OR

x = 8
y = 7
i.e. x+y = 15

OR

x = 7
y = 6
i.e. x+y = 13 hence

NOT SUFFICIENT

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