Question

Which are the three numbers have a product of 80and a sum of 15

Answer 1

let a−d,a,a+darethreetermsofanAP

according to the problem gives,

sum of the terms=15

a−d+a+a+d=15

3a=15

a=

3

15

a=5

product=80

(a−d)a(a+d)=80

(a²−d²)a=80

(5²−d²)5=80

25−d²=80/5

25−d²=16

−d²=−9

d²=3²

d=±3

Therefore,a=5,d=±3

required3termsare

a−d=5−3=2

a=5

a+d=5+3=8

(2,5,8)or(8,5,2)

Answer 2

The three numbers having a product of 80 and a sum of 15 are(8,5 and 2)