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If the G.M of two non –zero positive numbers is to their A.M is 12:13 then numbers are in the ratio  

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a
5:8
b
4:9
c
6:11
d
3:8

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detailed solution

Correct option is B

aba+b2=1213aba+b=613169ab=36(a+b)2a2+b2+2abab=16936ab+ba=16936−2=9736⇒ a: b=4:9


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