What is the average of all numbers between 10 | vedclass

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Question

(D) To find the numbers between $100$ and $200$ divisible by $13$,we identify the first and last multiples.The first multiple of $13$ greater than $10

Vedclass · Accepted Answer

$149$

Vedclass · Answer

(D) To find the numbers between $100$ and $200$ divisible by $13$,we identify the first and last multiples.The first multiple of $13$ greater than $100$ is $13 	imes 8 = 104$.The last multiple of $13$ less than $200$ is $13 	imes 15 = 195$.Since these numbers form an arithmetic progression,the average is calculated as the sum of the first and last terms divided by $2$.Average $= \frac{104 + 195}{2} = \frac{299}{2} = 149.5$.

What is the average of all numbers between $100$ and $200$ which are divisible by $13$ (in $.5$)?

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