Question

The three number are is continued proportional whose mean in continued proportional is 12 and the sum of the remaing two numbers is 26 , then find these number​

Answer 1

Answer:

let the there numbers be

a,b,c

As they are in continued

Proportion

b2=ac

mean is 12

∴b=12

So, 12

2=ac

144=ac

c=144/a

Sum of two number is

a+c=26

a+ a144 =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

Answer 2

Answer:

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