Sum

Split 207 into three parts such that these partsare in A.P. and the productof the two smaller parts in 4623.

Advertisement Remove all ads

#### Solution

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?

Advertisement Remove all ads

#### APPEARS IN

Advertisement Remove all ads

Advertisement Remove all ads