For the given pair x y of positive integers such that 4x 17y 1 and x lt 1000 how many integer values...........

Math and Mental Ability Number System

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 ?

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Explanation:

We first need to find out a solution for x & y. Once we get a solution, values of x would be in an AP with a common difference of 17 whereas values of y would be in an AP with a common difference of 4.
x = 13, y = 3
x = 30, y = 7
x = 47, y = 11
.
.
x = 999, y = 235
No. of terms =
{(999-13)/17 } + 1
= 58 + 1 = 59. Option D