- The given equation is a linear Diophantine equation: 4x – 17y = 1. - We need to find the number of positive integer solutions (x, y) such that x 0 => 13 - 17n > 0 => 13 > 17n => n 0 => 3 - 4n > 0 => 3 > 4n => n -987 - n > -987/17 ≈ -58.058... - So, n must be an integer such that -58.058...
For the given pair (x, y) of positive integers, such that 4x – 17y = 1 and x < 1000, how many integer values of y satisfy the given conditions?
Asked in GPSC Prelims CSP 1 2021 · Topic: Nature of Indian Economy (Developing Economy Characteristics)
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