How many 2 digit numbers are divisible by 3

1.	How many 2 digit numbers are divisible by 3
Answer» First two digit number divisible by 3 = 12 Last two digit number divisible by 3 = 99 An arithmetic progression (A.P) is a progression in which the difference between two consecutive terms is constant. A.P = 12,15,18,…,99 here First term (a) = 12 Common difference (d) = 3 Let us consider there are n numbers then a_n = 99 a + (n – 1)d = 99 12 + (n – 1)3 = 99 12 + 3n – 3 = 99 n = 29+1 n = 30 Hence there are 30, two digit numbers which are divisible by 3.

Answer»

First two digit number divisible by 3 = 12

Last two digit number divisible by 3 = 99

An arithmetic progression (A.P) is a progression in which the difference between two consecutive terms is constant.

A.P = 12,15,18,…,99

here

First term (a) = 12

Common difference (d) = 3

Let us consider there are n numbers then

a_n = 99

a + (n – 1)d = 99

12 + (n – 1)3 = 99

12 + 3n – 3 = 99

n = 29+1

n = 30

Hence there are 30, two digit numbers which are divisible by 3.

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