find the sum of all 2 digit numbers divisible by 3, Numbers, General Mathematics

Question:Find the sum of all `2` digit numbers divisible by `3`.

Answer All 2 digit numbers divisible by `3` are :

 `12,15,18,21,......99`.

 This is an A.P. with `a =12` and `d=3`.

 Let it contain n terms.Then,

 `12+(n-1) xx 3=99` or `n=30`.

 Required sum =`30/2 xx (12+99) = 1665`.

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Find the sum of all `2` digit numbers divisible by `3`.

Question:Find the sum of all `2` digit numbers divisible by `3`.

Answer All 2 digit numbers divisible by `3` are : `12,15,18,21,......99`. This is an A.P. with `a =12` and `d=3`. Let it contain n terms.Then, `12+(n-1) xx 3=99` or `n=30`. Required sum =`30/2 xx (12+99) = 1665`.