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Permutations And Combinations
The A.M. between two positive numbers is 34 and their GM. is 16. Find the numbers.
Let a and b be two numbers
A.M. = 34 ...(i)
G.M. = 16 ...(ii)
From (i), b = 68  a
Using in (ii), we get
a(68  a) = 256
a(a  64)  4 (a  64) = 0 (a  64) (a  4) = 0
a = 4, 64
When a = 4, b = 68  4 = 64
and a = 64, b = 68  64 = 4
Sponsor Area
Determine K, so that K + 2, 4K – 6 and 3K – 2 are three consecutive terms of an A.P.
Sponsor Area