Question

how many tow digital number are divisilble by 4
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Answer 1

Here,

• Using General Term of Arithmetic Progression —

• a = 12 ( Initial Number )

• d = 4 ( Common difference of the series )

• a^n = 96 ( Highest number in the progression )

• Here, n = No of terms we have in our series.

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a^n = a + (n – 1)d

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Now, Putting values in the above formula,

⇒ 96 = 12 + ( n – 1 ) 4

⇒ 96 – 12 = ( n – 1 ) 4

⇒ 84 = ( n – 1 ) 4

⇒ 84/4 = n –1

⇒ 21 = n – 1

⇒ 21 + 1 = n

⇒ ${ \boxed{n = 22}}$

Hence, 22 two digit numbers are divisible by four.

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