Question

the sum of three numbers in ascending A.P is 15 and their product is 80 find the number ​

Answer 1

Answer:

Here, sum of the numbers = 15

....product of The numbers = 80

let the numbers be (a–b), a and (a+b).

(a–b )+ a + (a+b) = 15

3a = 15

a = 15/3

a= 5

product of the numbers = 80

(a–b)×a×(a+b) = 80

(a²–b²)×a = 80

(5²–b²)×5 = 80

25–b² = 80/5 = 16

25–b² = 16

25–16 = b²

9 = b²

b = √9

b= 3

1st number = (a–b) = (5–3) = 2

2nd number = a = 5

3rd number = (a+b) = (5+3) = 8

......

.......hence, the numbers are 2,5 and 8....