Question

How many natural numbers are there between 23 and 100 which are exactly divisible by 8?​

Answer 1

Answer:

Natural numbers between 23 and 100 are 24, 25, ...99.

Natural numbers between 23 and 100 which are divisible by 8 are

24, 30, ...96.

In above A.P. first term a = 24, common difference (d) = 8

T(n) = a + (n-1)d

96 = 24 +(n-1) 8

(96-24)/8 + 1 = n

n = 12

Hence such numbers are 12.

Step-by-step explanation:

These is by arithmetic progression method.

Answer 2

Answer: Natural numbers between 23 and 100 are 24, 25, ...99.

Natural numbers between 23 and 100 which are divisible by 8 are

24, 30, ...96.

In above A.P. first term a = 24, common difference (d) = 8

T(n) = a + (n-1)d

96 = 24 +(n-1) 8

(96-24)/8 + 1 = n

n = 12

Hence such numbers are 12.