Question

2. Find three numbers in AP whose sum is 15 and product is 80.​

Answer 1

Answer:

2,5 and 8

Step-by-step explanation:

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

given is that sum of the numbers is 15

so (a-d) + a + (a+d) =15

therefore a=5

given that product is 80

so (a-d)*(a)*(a+d) = 80

therefore a²-d²= 80/5=16

hence 25-d²=16

d²=3

hence d= 3 or -3

the numbers are a-d,a,a+d

hence numbers can be 2,5,8 (when d=3)

or numbers can be 8,5,2 (when d=-3)

hope this helps you :)

Answer 2

See the above attachment for answer.