Question

If 4x – 17y = 1 and x, y < 500. Find how many positive integer solution are possible?
(A) 29
(B) 28
(C) 27
(D) cannot be determined​

Answer 1

Answer:

A] 29

Step-by-step explanation:

4x−17y=1

Or 4x−1=17y

Or 4x−1 must be multiple of 17 and y and x≤500

Max multiple of 17 in the set 4x−1 i.e.

(3,7,11,.........1999)

to be divisible by 17 is (17,34,51........1989)

Using AP formula we get n=29

Hence, the answer is 29.

Answer 2

Answer:

(D) cannot be determined