Question
Download Solution PDFIf AM and GM of two positive number a and b are 10 and 8 respectively. Find the numbers .
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If A is the arithmetic mean of numbers a and b and is given by ⇔ A = (a + b)/2
If G is the geometric mean of the numbers a and b and is given by ⇔ G =
Calculation:
Here AM = 10 and GM = 8
So,
⇒ a + b = 20 ....(1)
Again ,
⇒ ab = 64 ....(2)
After solving both equation, we get a = 4, b = 16 or a = 16, b = 4
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