Math Riddle: Find the value of C x A

As per given information;

A X B = 2

B X C = 6

So we write both the equations in term of B;

A = 2/B

C = 6/B

Substituting this values in A + B + C = 6 we get;

2/B + B + 6/B =6

(2 + B^2 + 6)/B = 6

8 + B^2 = 6B

B^2 – 6B + 8 = 0

(B – 4) (B – 2) = 0

Therefore;

B = 4 or 2

Let’s take value of B as 2

A = 2/2 = 1

C = 6/2 = 3

Therefore;

C x A = 3 x 1 = 3

Answer = 3