SOLUTION: Two consecutive integers are such that one quarter of the first added to one seventh of the second is greater than 19. Determine the smallest possible values for the numbers.

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Question 444335: Two consecutive integers are such that one quarter of the first added to one seventh of the second is greater than 19. Determine the smallest possible values for the numbers.

This is what I Started with: x/4 + y/7 < 19 but I don't know how to go any further with the sum.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
x/4+(x+1)/7>19
7x+4(x+1)>532
11x+4>532
11x>528
x>48..