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Number Of Solutions Of The Equation 2x + y = 40, Where Both x And y Are Positive Integers And x <=y

Sujoy Das
08/02/2018 0 0

Question:

Number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x <=y ?

Solution:

2x + y = 40

x <= y

y = x + k; where k >=0

3x + k = 40

x = ( 40 - k ) / 3

x is a positive integer so takes value from 1 to 40 all multiples of 3

13 values.

 

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