Question

(v) How many two digit numbers are
divisible by 3 ?​

Answer 1

Let two digit numbers are 10, 11, 12 , -------------99

which are divisible by 3 are 12, 15 ...............,99.

Here a = 12 and common dofference = 3 , an = l = 99

nth term (tn) = a + ( n - 1) d

⇒ 99 = 12 + ( n - 1) 3

⇒ (n - 1)3 = 99 - 12 = 87

⇒ ( n -1) = 87 / 3

⇒ n - 1 = 29

∴ n = 30

∴ 30 two digit numbers which are divisible by 3.

Answer 2

Hey mate

here is your answer

a = 12

an=99

d=3

an=a+(n-1)d

99=12+3n-3

99-9=3n

90=3n

30=n

there are 30 two digit numbers divisible by 3.

hope it helps you