Find the sum of the positive integers less than 200 which are not multiples of 4 and 7

is the sum of positive integers between (inclusive) and (inclusive) that are not multiples of and not multiples .

Step-by-step explanation:

For an arithmetic series with:

there would be terms, where as the sum would be .

Positive integers between (inclusive) and (inclusive) include:

.

The common difference of this arithmetic series is . There would be terms. The sum of these integers would thus be:

.

Similarly, positive integers between (inclusive) and (inclusive) that are multiples of include:

.

The common difference of this arithmetic series is . There would be terms. The sum of these integers would thus be:

Positive integers between (inclusive) and (inclusive) that are multiples of include:

.

The common difference of this arithmetic series is . There would be terms. The sum of these integers would thus be:

Positive integers between (inclusive) and (inclusive) that are multiples of (integers that are both multiples of and multiples of ) include:

.

The common difference of this arithmetic series is . There would be terms. The sum of these integers would thus be:

.

The requested sum will be equal to:

That is:

.

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^