Question
If x and y are integers then the equation 5x + 19y = 64 has (CAT 2003)
Answer: Option C
:
C
Soln:
(c) 5x + 19y = 64
We see that if y = 1, we get an integer solution for x = 9, now if y changes (increases or decreases) by 5, x will change (decrease or increase) by 19.
Looking at options, if x = 256 we get y = 64.
Using these values we see option 1, 2 and 4 are eliminated and also that these exists a solution for 250<x<300.
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:
C
Soln:
(c) 5x + 19y = 64
We see that if y = 1, we get an integer solution for x = 9, now if y changes (increases or decreases) by 5, x will change (decrease or increase) by 19.
Looking at options, if x = 256 we get y = 64.
Using these values we see option 1, 2 and 4 are eliminated and also that these exists a solution for 250<x<300.
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