Split 207 into three parts such that these are in ap and the product of two smaller parts is 4623

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

  Is there an error in this question or solution?

Uh-Oh! That’s all you get for now.

We would love to personalise your learning journey. Sign Up to explore more.

Sign Up or Login

Skip for now

Uh-Oh! That’s all you get for now.

We would love to personalise your learning journey. Sign Up to explore more.

Sign Up or Login

Skip for now