Question
Download Solution PDFTwo numbers are in the ratio of 4 : 9. If the mean proportional between them is 24, find the positive difference between the two numbers.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Two numbers are in the ratio of 4 : 9
Mean proportional between them is 24
Formula used:
If a and b are two numbers, then mean proportional = √(a × b)
Calculation:
Let the two numbers be 4x and 9x
Mean proportional = √(4x × 9x)
⇒ 24 = √(36x2)
⇒ 24 = 6x
⇒ x = 4
First number = 4x = 4 × 4 = 16
Second number = 9x = 9 × 4 = 36
Positive difference = 36 - 16 = 20
∴ The correct answer is option (1).
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