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Split 207 into three parts such that the...

Split `207` into three parts such that these are in A.P. and the product of the two smaller parts is `4623`.

Text Solution

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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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