# 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.

#### 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