Question

how many natural numbers below 2009 are divisible by both 4 and 6?​

Answer 1

Step-by-step explanation:

There is 167 natural numbers below 2009 are divisible by both 4 and 6

Answer 2

Answer:

167 numbers are divisible

Step-by-step explanation:

To find out the total number below 2009 which is divisible by 4 and 6 both.

This is equivalent to the total number below 2009 which is divisible by 12 ( LCM of 4 and 6 ).These number are following

12 , 24 ,36 48 upto 2004.

But this is an arthmatic progression(AP).whose

First term(a) = 12

And common ratio(d) = 12

Now let us consider in this AP number of term is n.

Now then nth term of this AP is given by T

= a + (n-1)d

So 2004 = 12 + (n-1)12. Decide by 12 both side we get

167 = 1 + n- 1

So n = 167

Hence there are 167 number which divisible by 4 and 6

hope it helped :)

MARK AS BRAINLIEST ❤️