Question
If the average of two numbers is 20 and the square root
of their product is 16, then the difference between the numbers is:Solution
Average of numbers = (a + b)/2 = 20 a + b = 40 ...(I) square root of these numbers = √ ab = 16 squaring both sides ab = 256 a – b =? So now – (a + b)2 = (a- b)2 + 4ab (40)2 – 4 ×256 = (a-b)2 (a-b)2 =1600- 1024 = 576 a – b = 24
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