Question

Find the number of all even 2 digit numbers not having 0 at the unit place

Answer 1

Answer:

36 even number are there which are two digit

Answer 2

Answer: The number of 2 digit even numbers not having 0 at the unit

              place is 36.

Concept :  Arithmetic Progression

Given : 2 digit even numbers

To Find : The number of 2 digit even numbers not having 0 at the unit

               place

Step-by-step explanation:

2 digit even numbers will be like :

10,12, 14, 16, ....., 96, 98.

The number of 2 digit even numbers can be found using A.P :

first term = 10

common difference = 2

∴ $a_{n} = a_{1} + (n - 1)d$

⇒ $98 = 10 + (n - 1)2$

⇒ $88 = 2(n - 1)$

⇒ $n - 1 = 44$

∴ n = 45

2 digit even numbers having 0 at unit place will be : 10, 20, 30, 40, 50, 60, 70, 80, 90

The number of 2 digit even numbers having 0 at unit place = 9

∴ The number of 2 digit even numbers not having 0 at the unit place = (45 - 9) = 36

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