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If the sum of reciprocal of three numbers in H.P is 18 and their product is 120 ,then find the numbers?

If the sum of reciprocal of three numbers in H.P is 18 and their product is 120 ,then find the numbers?

Grade:11

1 Answers

noogler
489 Points
6 years ago
let three no. in H.P be x,y,z nd there receprocals be a,b,c which are in A.P
given a+b+c=18 and abc=120
           3b=18......b=6           because as a,b,c r in A.P  a+c=2b
    now  a+c=12 , ac=20    on solving these two eq. u get a=2, b=6, c=10
as required no. r  x,y,z  i.e,   ½  , 1/6  , 1/10
 
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