Question

how many two digit numbers are divisible by 3
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Answer 1

Answer:

30 two digit number can be

Step-by-step explanation:

Answer 2

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The list of two digit number divisible by 3 is 12 , 15 , 18 , .......... ,99

Now,

Given :-

• a = 12
• d = 3
• $\rm\:a_n$= 99

To Find :-

• How many two digit number divisible by 3

Solution :-

we know that,

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$\rm\longrightarrow99=12+(n-1)\times\:3$

$\rm\longrightarrow\:99-12=(n-1)\times\:3$

$\rm\longrightarrow\:87=(n-1)\times\:3$

$\rm\longrightarrow\:\cancel\dfrac{87}{3}=(n-1)$

$\rm\longrightarrow\:29=(n-1)$

$\rm\longrightarrow\:29+1=n$

$\rm\longrightarrow\:30=n$

$\rm\longrightarrow\:n=30$

Hence,there are 30 two digits numbers divisible by 3.

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⤇ Arithmetic progression (AP) :- A sequence in which each term differs from its preceding term by a constant is called arithmetic progression which is written as AP.