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 Arithmetic mean of two number is 13 and geometric mean is 12 , then find that numbers [ Calculator, Method and examples ]Solution:Your problem -> Arithmetic mean of two number is 13 and geometric mean is 12 , then find that numbers Let the two terms be a and b.=> A = (a + b)/2 = 13 and G = sqrt(ab) = 12=> a + b = 26 ->(1) and ab = 144 ->(2)=> b = 26 - a ->(3)Now putting the value of (3) in (2), we get a(26 - a) = 144=> 26a - a^2 = 144=> a^2 - 26a + 144 = 0=> (a - 8)(a - 18) = 0=> a = 8 or a = 18=> a = 8 => b = 26 - a = 26 - 8 = 18and a = 18 => b = 26 - a = 26 - 18 = 8:. Required numbers are 8 and 18

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