The average of two numbers is 25, and the square root of their product is 20. What is the difference between the two numbers?
Let the two numbers = a and b Given – Average of numbers = (a + b)/2 = 25 a + b = 50 ...(I) square root of these numbers = √ ab = 20 squaring both sides ab = 400 So now – (a + b)2 = (a- b)2 + 4ab (50)2 – 4 ×400 = (a-b)2 (a-b)2 =2500- 1600 = 900 a – b = 30.
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