Question

In 400 to 700 how many nums are divisible by 9 and 11

Answer 1

405 TO 693 ARE THE NO. FROM 400 TO 700 THERE ARE 33 NO.

Answer 2

The numbers which are divisible by both will be the LCM of 9 and 11 which is 99.

We find that the first number which is divisible by 99 after 400 is 495

and the last number before 700 that is divisible by 99 is 693,

So, we can write it in an A.P.: 495,......,693

Here, the first term (a)=495

Last term (l)=693

The common Difference(d)=99

We know that an=a+(n-1)d

So,693=495+(n-1)99

=>198=99n-99

=>297=99n

Therefore, n=3.

Thanks!!!