1. The number of positive integer valued pairs (x, y), satisfying 4x - 17 y = I and x < 1000 is:
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By: anil on 05 May 2019 02.31 am
y = $$frac{4x-1}{17}$$ The integral values of x for which y is an integer are 13, 30, 47,...... The values are in the form 17n + 13, where $$ n geq 0$$ 17n + 13 < 1000 => 17n < 987 => n < 58.05 => n can take values from 0 to 58 => Number of values = 59
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