If A. M. and G. M. of two positive numbers are
13 and 12 respectively. Find the numbers.
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Answer:
8 and 18
Step-by-step explanation:
Let the numbers be x and y.
x+y = 26 …(1)
xy = 144 …(2)
x(26-x) = 144, or
x^2–26x+144 = 0
(x-18)(x-8) = 0
So x = 18 and y = 8.
The two numbers are 18 and 8.
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