Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Find the number of all multiples of 9 lying between 300 and 700.         <div style="

Find the number of all multiples of 9 lying between 300 and 700.

 

 
 
 
 
 

Answers (1)

First of all find the first number which is multiple of 9 between 300 and 700.

We can easily see that the 306 is the first number divisible by 9

Now last number divisible by 9 can be found out by dividing 700 by 9 and subtracting the remainder from 700.

The last number is 693.

Now we have an AP with 

a=306,l=693  and d=9

l=a+(n-1)d \;\;\;\;\;\;\;\;\;\;\;\;\; \rightarrow \text{formula}

\Rightarrow 693=306+(n-1)9

\Rightarrow 693-306=(n-1)9

\Rightarrow 9(n-1) =387

\Rightarrow (n-1) =\frac{387}{9}=43

\Rightarrow n-1 =43

\Rightarrow n =43+1

\Rightarrow n =44

No. of multiples of 9 between 300 and 700 is 44.

Posted by

Safeer PP

View full answer

Similar Questions

Latest Question