Question

Find the number of natural numbers between 102 and 998 which are divisible by 2 and 5 both.

Answer 1

Answer:

this is your solution for the following information

Answer 2

Answer:

The total number of natural numbers is 89.

Step-by-step explanation:

To find : The number of natural numbers between 102 and 998 which are divisible by 2 and 5 both ?

Solution :

The number divisible by 2 and 5 both is the number which is divisible by 10.

The number of natural numbers between 102 and 998 which are divisible by 2 and 5 both are 110,120,130,.... 990 forming an Arithmetic progression.

Where, First term is a=110

The common difference is d=10

The last term is l=990

The last term formula is given by,

$l=a+(n-1)d$

$990=110+(n-1)10$

$990-110=(n-1)10$

$880=(n-1)10$

$\frac{880}{10}=n-1$

$n-1=88$

$n=88+1$

$n=89$

The total number of natural numbers is 89.