Question

The sum of three numbers in H.P is 22 and the sum of their reciprocal is 2.Find the numbers

Answer 1

Answer:

let a-d, a, a+d are in A.P. so 1/a-d, 1/a, 1/a+d are in H.P.

as given

a-d+a+a+d =1/4

3a = 1/4

a= 1/12

so numbers are 1/a-d, 1/a, 1/a+d or 15,12,10