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Split 207 into Three Parts Such that These Partsare in A.P. and the Productof the Two Smaller Parts in 4623. - Mathematics

Sum

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

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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
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 10 Arithmetic Progression
Exercise 10 (D) | Q 6 | Page 146
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