Question

The sum of three numbers in AP is 24 and their products is 440.Find the numbers​

Answer 1

Explanation:

given

the sum of number=24

let

the three numbers are

a-d,a,a+d

so,

=>a-d+a+a+d=24

=>3a=24

=>a=8

than

the product of three numbers=440

=>(a-d)*a(a+d)=440

=>(8-d)8(8+d)=440

=>64-d²=55

=>-d²=55-64

=>d=√9=3

hence:-

AP is

8,11,14,17------

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Answer 2

let 1st no is =a

let 2nd no =a+d

let 3rd no =a+2d

according to the question

we have.....

sum of these three no=24

a+a+d+a+2d=24

3a+3d=24

3(a+d=8)

a+d=8.

a=8-d

according to the question

product of all no is=440

a*a+d*a+2d=440

(8-d)*(8-d)+d*(8-d)+2d =440

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