Question

# If the sum of two distinct positive numbers is 8 and the difference between the arithmetic mean and harmonic mean of the given two numbers is 1, then the value of the largest number is 4 6 7 8

Solution

## The correct option is D 8 Let the two distinct positive numbers be a and b . a + b = 8 (a+b)2−2ab(a+b)=1(a+b)2−4ab=2(a+b)(a−b)2=16a−b=4 Solving we get a =6 , b= 2 The largest number among the two is 6

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