Answer:
2, 5, 8
Step-by-step explanation:
For starters, let us assume that the numbers are x-d, x, and x+d.
Where d is the common difference between terms.
This mean that we can say, from the question
x-d + x + x+d = 15
3x = 15,
x = 5,
This means that the terms are 5, 5-d and 5+d.
On the other hand,
(5-d) * 5 * (5+d) = 80
(5-d) * (5+d) = 80/5
(5-d) * (5+d) = 16
25 - d² = 16
d² = 9
d = + or - 3.
Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.