Question #42fa8

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Question #42fa8

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Answer 1 · 2017-12-13T01:41:10

The sum is $35392$ .

Explanation:

The numbers divisible by $2$ and $7$ are multiples of $14$ .
Use the sum of an arithmetic progression
$S=1/2n(a+l)$ .
$S$ : sum
$n$ : number of terms
$a$ : first term
$l$ : last term

The least 3-digit number divisible by $14$ is $14*8=112$ , and the greatest 3-digit multiple of $14$ is $14*71=994$ .
And, there are $71-8+1=64$ multiples of $14$ between $112$ and $994$ .

So, the sum is
$S=1/2*64*(112+994)=35392$ .

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Question #42fa8

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