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If x and y are non-zero integers and |x| + |y| = 32, what is

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Senior Manager
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Posts: 351
If x and y are non-zero integers and |x| + |y| = 32, what is [#permalink]

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New post 25 Jul 2008, 23:40
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If x and y are non-zero integers and |x| + |y| = 32, what is xy?

(1) -4x – 12y = 0

(2) |x| – |y| = 16
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Re: DS Absolute value (n3.2) [#permalink]

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New post 26 Jul 2008, 06:32
judokan wrote:
If x and y are non-zero integers and |x| + |y| = 32, what is xy?

(1) -4x – 12y = 0

(2) |x| – |y| = 16



From 1)

x= -3y

Putting it in the main eqn

l-3yl + lyl = 32

when Y is negative
+3y - y= 32

y= 16
x=-48
but the expression
|x| + |y| = 32
will not hold good
Thus Y can not be negative.

When Y is positive

4y=32
Y=8
x=-24
xy=-192
Expression |x| + |y| = 32 hold good
Definite answer.

(1) gives answer

For (2)

lxl - lyl = 16

x= + 24, y= -8

xy = -192
But
for X= +24, y= 8
lxl - lyl = 16 holds good
but xy = +192
thus no definite answer


Thus only from (1). (A) is the answer.
Re: DS Absolute value (n3.2)   [#permalink] 26 Jul 2008, 06:32
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If x and y are non-zero integers and |x| + |y| = 32, what is

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