Question

please answer it fast ​

Answer 1

Answer:

The numbers are: 8,12,18 or 18,12,8.

Step-by-step explanation:

Let, the three numbers be=a,b,c

As they are in continued propation=b²=ac.

mean is 12

=b=12

so, 12²=ac

144=ac

c=144/a

Sum of two numbers is

a+c = 26

a + 144/a =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

The numbers are 8,12,18 or 18,12,8.

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