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The number of solutions of the equation 2x + y = 40 where both x and y
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Bunuel
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The number of solutions of the equation 2x + y = 40 where both x and y [#permalink] New post  25 Jan 2021, 03:15
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A
B
C
D
E

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62% (02:03) correct 38% (02:58) wrong based on 13 sessions

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The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x <= y is:

A. 7
B. 13
C. 14
D. 15
E. 28
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Re: The number of solutions of the equation 2x + y = 40 where both x and y [#permalink] New post  25 Jan 2021, 03:26
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Bunuel wrote:
The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x <= y is:

A. 7
B. 13
C. 14
D. 15
E. 28


\(2x + y = 40\) and x ≤ y

First solution is x =1 and y = 38
Last solution is x =13 and y = 14

and x will increase by 1 unit for each distinct solution

so total solutions = 13

Answer:Option B
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