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# x,y are positive intergers, 80=22*x+y what is the value of

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x,y are positive intergers, 80=22*x+y what is the value of [#permalink]  30 Jan 2006, 17:49
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x,y are positive intergers, 80=22*x+y what is the value of y?

1) x=3
2) y<22
Manager
Joined: 15 Aug 2005
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Location: New York
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D

1) y= 14

2) you <22

x=2, y=36, so x can't be less than 2
x=3, y =14, so it works
2=4, y=-8, but both x and y should be positive, so x must be less than 4.
So y can only be 14.
VP
Joined: 21 Sep 2003
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Hmm. I always apply the rule "be careful when Vivek posts something"

80 = 22*x+y
or y = 80 - 22*x

1) x=3. Straight SUFF.
2) y < 22

=> 80 -22*x < 22
=> -22*x < 22-80
=> -22*x < -58

Reversing the inequality and changing the sign gives
or x > 58/22
x > 2.xx
Since x is a +ve integer,
x = 3,4,.....

For x =3
y = 14

For x = 4, y becomes -8, which contradicts that y is a +ve integer

Hence the only vales of x and y are x =3 and y =14. SUFF!

Hence D.
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

Last edited by giddi77 on 30 Jan 2006, 23:59, edited 1 time in total.
SVP
Joined: 14 Dec 2004
Posts: 1707
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Cool

The OA is "D"

Girish, I need to be careful of my postings now , I'm made mistake in this!
VP
Joined: 21 Sep 2003
Posts: 1066
Location: USA
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Kudos [?]: 39 [0], given: 0

vivek123 wrote:
Cool

The OA is "D"

Girish, I need to be careful of my postings now , I'm made mistake in this!

I can draw an inference from your statement. If you think of every question to be your future posting, you will be automatically careful

But definitely it is better than making mistakes on the real test!
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

Manager
Joined: 30 Jan 2005
Posts: 143
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giddi77 wrote:
Hmm. I always apply the rule "be careful when Vivek posts something"

or y = 80 - 3*x

1) x=3. Straight SUFF.
2) y < 22

=> 80 -3*x < 22
=> -3*x < 22-80
=> -3*x < -58

Reversing the inequality and changing the sign gives
or x > 58/3
x > 2.xx
Since x is a +ve integer,
x = 3,4,.....

For x =3
y = 14

For x = 4, y becomes -8, which contradicts that y is a +ve integer

Hence the only vales of x and y are x =3 and y =14. SUFF!

Hence D.

Girish

there is something wrong...

shouldn't it be
22*x+y =80
y= 80 - 22*x
how u got 80 = 3*x+y
_________________

"Nothing is Impossible"

VP
Joined: 21 Sep 2003
Posts: 1066
Location: USA
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Kudos [?]: 39 [0], given: 0

jinesh wrote:

there is something wrong...

shouldn't it be
22*x+y =80
y= 80 - 22*x
how u got 80 = 3*x+y

Oops. I solved it on paper and then typed it incorrectly. I have edited my post.
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

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