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If   H.M. : G.M. = 4 : 5 for the two positive numbers, then the ratio of the numbers is 

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a
4:1
b
3:2
c
3:4
d
2:3

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detailed solution

Correct option is A

Let the numbers be a and b. Then, 2aba+bab=45⇒2aba+b=45⇒a+b2ab=54⇒a+b+2aba+b−2ab=5+45−4⇒a+ba−b2=91⇒a+ba−b=31⇒ab=3+13−1⇒ab=41Applying componendo and dividendo


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