Math, asked by glmonish, 7 months ago

divide 24 in three parts such that they are in AP and their product is 440

Answers

Answered by amit61032
2

ANSWER

Numbers are: 11,8,5.

Step-by-step explanation:

Let a−d,a,a+d are three numbers in AP.

their sum =a−d+a+a+d=24

3a=24

or a=8

Again,

Their product =(a−d)×a×(a+d)=440

a(a

2

−d

2

)=440

8(8

2

−d

2

)=440

or d=±3

We have 2 conditions here:

At a=8,d=3

Numbers are: 5,8 and 11

At a=8 and d=−3

Numbers are: 11,8,5.

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