Split 207 into three parts such that these partsare in A.P. and the productof the two smaller parts in 4623.
Let the tree parts in A.P nbe (a-d), a and (a+d) Then, `(a-d)+a+(a+d)=207`
`⇒ 3a=207`
`⇒a=69`
It is given that
`(a-d)xxa=4623`
`⇒(69-d)xx69=4623`
`⇒69-d=67`
`⇒d=2`
`⇒ a=69 and d=2`
Thus, We have
`a-d=69-2=67`
`a=69`
`a+d=69+2=71`
Thus, the tree parts in A.P are `67,69` and `71`
Concept: Simple Applications of Arithmetic Progression
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