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How many pairs of positive integers (x, y) satisfy the equation 3x + y
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14 Feb 2022, 07:30
14 Feb 2022, 07:30
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Question Stats:
69% (00:55) correct
30% (00:56) wrong based on 13 sessions
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How many pairs of positive integers (x, y) satisfy the equation 3x + y = 10?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: How many pairs of positive integers (x, y) satisfy the equation 3x + y
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14 Feb 2022, 10:35
14 Feb 2022, 10:35
1
Carcass wrote:
How many pairs of positive integers (x, y) satisfy the equation 3x + y = 10?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
We're told that 3x and y must add to 10.
Since x and y are positive integers, we can see that the maximum value of x is 3, which means there are only three possible values of 3: x = 1, x = 2, and x =3
Let's examine all three possible cases:
If x = 1, then y = 7
If x = 2, then y = 4
If x = 3, then y = 1
So, the three possible integer solutions are (1, 7), (2, 4) and (3, 1)
Answer: C
gmatclubot
Re: How many pairs of positive integers (x, y) satisfy the equation 3x + y [#permalink]
14 Feb 2022, 10:35
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