Math, asked by aditi11904, 7 months ago

if if sum of three numbers in an ap is 9 and their product is 24 then the numbers are​

Answers

Answered by arita6050301
4

Answer:

Find an answer to your question If the sum of three numbers in an A.P. is 9 and their product is 24, then numbers are *

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Answered by Anonymous
6

Answer:

ANSWER

Let the three numbers in A.P. be a−d,a, and a+d

According to given information

Sum=(a−d)+(a)+(a+d)=24...(1)

⇒3a=24∴a=8

& Product=(a−d)a(a+d)=440...(2)

⇒(8−d)(8)(8+d)=440

⇒(8−d)(8+d)=55

⇒64−d

2

=55

⇒d

2

=64−55=9

⇒d=±3

Therefore when d=3, the numbers are 5,8,11 and

when d=−3, the numbers are 11,8 and 5.

Thus the three numbers are 5,8 and 11.

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