If the sum of three numbers in A.P is 15 and their product is 45, then the numbers are

Let the required numbers be a-d, a, a+d. Sum of the numbers =3a=15   ⇒ a=5product of the numbers =(a−d)a(a+d)=45⇒a(a2−d2)=45⇒5(25−d2)=45⇒25−d2=9⇒d=±4so numbers are 1,5,9 or 9,5,1