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Algebra
Level
pending
[10000 * x / y] = 6296, where [G.I.F.]is Greatest Integer Function, and x and y are two 2-digit numbers prime to each other. Find x + y.
The answer is 44.
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1 solution
The aim here is to find integer solution for 10000x - 6296y = 8. (8 is a factor). Then on solve for x and y, using (See: Hall & Knight Algebra) "Continued Fractions", to give x = 17, y = 27.