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A cricketer has to score 4500 runs. Let ...

A cricketer has to score 4500 runs. Let `a _(n)` denotes the number of runs he scores in the `n ^(th)` match. If `a _(1)=a_(2)= …. a _(10) =150` and `a _(10) , a _(11), a_(12)….` are in A.P. with common difference `(-2)`. If N be the total number of matches played by him to scoere 4500 runs. Find the sum of the digits of N.

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