Question

The number of numbers lying between 81 and 1792 which are divisible by 17 is

Answer 1

Answer:

101

Step-by-step explanation:

Given  

The number of numbers lying between 81 and 1792 which are divisible by 17 is

This is in A.P

Let a be first term, d be common difference  

a = 85, d = 102 – 85 = 17 and a n =  1785

using formula we get

a n = a + (n -1)d

1785 = 85 + (n – 1) 17

1785 = 85 + 17 n – 17

1785 = 68 + 17n

17 n = 1785 – 68

17 n = 1717

  n = 101

So natural numbers lying between 81 and 1792 are divisible by 17 are 101.

Answer 2

Answer:

Your answer is 101.............

Step-by-step explanation:

Last no. divisible by 17 (in the range) is 1785

First no. divisible by 17 (in the range) is 85.

=> a= 85 , d= 17 , L=1785 , n=?

L = a+(n-1)d

=> 1785 = 85 + ( n - 1 ) 17

=> 1700/17 = n-1

=> n= 17