If the A.M. of two numbers is greater than G.M. of the number by 6 and the ratio of the numbers is 9 : 1, then the numbers are
Explanation:
Since the numbers are in the ratio of 9 : 1, let the numbers be 9x and x.
Now,
A.M. = (a + b)/2 = 5x and
G.M. = √ab = 3x
Given, A.M. = G.M. + 6
⇒ 5x = 3x + 6
⇒ x = 3
∴ The numbers are 27 and 3.
Hence, option (c).
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