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Q.

If H.M. and G.M. of two positive numbers are in the ratio 12 : 13, then the numbers are in the ratio

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a

4 : 9

b

3 : 5 

c

2 : 3

d

1 : 2 

answer is D.

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Detailed Solution

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2aba+b:ab=12:13 ⇒ 2aba+b=1213

⇒ab+ba=136

⇒ab=23or 32⇒a:b=4:9 or 9:4

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