Question

The sum of three numbers in



a.P.Is 15and sum of the sqaures estreme terms is 58.Find the numbers.

Answer 1

I hope it is the answer.

Answer 2

Hey, here is your answer

Let a, b and c be in a.p.

2b = a + c ------ (1)

given, a+b+c=15

2b+b=15

b=5

given, b^2 + c^2 = 58

5^2 + c^2 = 58

c^2 = 58-25

c^2 = 33

c = root 33

from (1) -----

a + b + c = 15

a + 5 + root 33 = 15

a = 10 - root 33

therefore, numbers are (10 - root 33), 5, root 33

hope it is useful for you