Split 207 into three parts such that these are in A.P. and the product – InterviewSolution

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1.	Split 207 into three parts such that these are in A.P. and the product of the two smaller parts is 4623.
Answer» Let three parts be `a-d, a, a+d`. `:. a-d+a+a+d=207` `rArr 3a=207 rArr a=69` and `(a-d).a=4623` `rArr (69-d)69=4623` `rArr 69-d=67 rArr d=2` `:. a-d=69-2=67` `" " a=69` `" "a+d=69+2=71` `rArr` three parts are 67,69,71

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