Two numbers are in the ratio of 4 : 9.
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.
दो संख्याएँ 4 : 9 के अनुपात में है। यदि उनका माध्यानुपाती 24 है, तो दोनों सख्याओं के बीच धनात्मक अंतर ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
20
Let the numbers be $ 4x \text{ and } 9x$
Mean proportional = $ \sqrt{(4x)(9x)} = \sqrt{36x^2} = 6x$
$6x = 24 x = 4$
Numbers are $ 4x = 16 \text { and } 9x = 36$
Positive difference = 36 - 16 = 20
Answer : 20
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