Find the sum of all the positive integers which
**
cannot
**
be represented by the sum of 2's and 5's

Details:-
**
2's and 5's can be used multiple times
**

*
Example:- 4=2+2, 16=5+5+2+2+2
*

The answer is 4.

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All the even numbers can be represented as $2+2+2.......$

All the odd numbers greater than 5 can be represented as $(2k+5)$ where $k ∈ W$ , which implies that all the odd numbers greater than 5 will be $5+2+2+2....$

The odd numbers below 5 are 1 and 3.

Thus, the only numbers which cannot be represented by the sum of 2's and 5's are 1 and 3.

$1+3=\boxed{4}$