Question

If the sum of three numbers in an A.P. is 9 and their product is 24, then numbers are

Answer 1

Answer:

2+3+4=9

2×3×4=24

Answer 2

Answer:

The AP is 2,3,4 or 4,3,2.

Step-by-step explanation:

Let the 3 nos be a-d, a, a+d

Hence, their sum= a-d+a+a+d=9

3a=9, and a=3

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

(3-d)(3+d)(3)=24

$(9-d^2)3=24$

Hence,

$9-d^2=8$

$-d^2=-1$

$d=1$ (plus or minus)

Hence, the terms are,

a-d= 3-1=2

a=3

a+d= 4

Hence, the AP is 2,3,4 or, 4,3,2 taking d as -1

Hope it helps.