Question
Two numbers are in the ratio of 4 : 9. If the mean
proportional between them is 24, find the positive difference between the two numbers.Solution
Let the two numbers be 4x and 9x Mean proportional (geometric mean) = √(4x × 9x) = √(36x²) = 6x Given mean proportional = 24 So, 6x = 24 x = 4 Numbers are: 4x = 16 9x = 36 Positive difference = 36 − 16 = 20
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