Question

Three numbers are in continued proportion whose mean proportional is 25 and the sum of the remaining two numbers is 36. Find the numbers.​

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, 122=ac

144=ac

c=144/a

Sum of two number is 

a+c=26

a+a144=26

Solving, 

=a2+144−26a=0

=a2−18a−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