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Permutations And Combinations
The A.M. of two numbers is 3 times their G.M. Show that the numbers are in the ratio
Let a and b be two numbers.
A.M = G.M. =
According to the given condition
Applying componendo and dividendo, we get
Again applying componendo and dividendo, we get
Squaring both sides, we get
∴ Numbers are in ratio
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