Grade 11Algebra
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?
1 Answer
noogler
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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