Question

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

Answer 1

Answer:  2,3,4

Step-by-step explanation:

Let the numbers be a-d,a,a+d

Given sum is 9

a-d+a+a+d=9

3a=9

 a=3

Given product is 24

(a-d)a(a+d)=24

(a^2-d^2)a=24

(3^2-d^2)3=24

9-d^2=24/3

d^2=9-8

d^2=1

d=+or - 1

if d=1

a-d=3-1=2

a=3

a+d=3+1=4

if d=-1

a-d=3-(-1)=3+1=4

a=3

a+d=3+(-1)=3-1=2

Either way, the numbers are 2,3,4.

Answer 2

Answer:

2,3,4 are numbers whose sum in an AP is 9 and their product is 24