please answer by solving
3 number are in continued proportion the sum of second and third is 16 and the product of all is 800

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1. Answer:

   let the there numbers be

   a,b,c

   As they are in continued

   Proportion

   b

   2

   =ac

   mean is 12

   ∴b=12

   So, 12

   2

   =ac

   144=ac

   c=144/a

   Sum of two number is

   a+c=26

   a+

   a

   144

   =26

   Solving,

   =a

   2

   +144−26a=0

   =a

   2

   −18a−8a+144=0

   =a(a−18)−8(a−18)=0

   =(a−18)(a−8)=0

   ∴a=18 or a=8

   c=8 c=18

   ∴ The numbers are :-

   8,12,18 or 18,12,8

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