Extension of Alpha and Beta problem
Number Theory
Level
5
Let X and Y be positive integers such that 43/197 < X/Y < 17/77.
Find the sum of the 5 smallest possible values of Y.
The answer is 246.
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1 solution
I refer you to the Eddie the Head’s solution of “Alpha and Beta ” problem.
Then continue by substituting these values for gamma: 5, 6, 7, 8, and we get the 5 lowest values for Beta to be 32, 41, 50, 59, and 64. Therefore the sum of the 5 lowest values for Beta = 246