Question

Three cards are lined up on a table. Each card has a letter printed on one side

Answer 1

Answer:

Product of the numbers on three cards is 36 .

Step-by-step explanation:

Let the numbers on the cards with R , G , B respectively be, x , y and z.

Then, according to the question, we get the following 3 equations,

xy = z ----------- (1)

yz = 180 ------------(2)

5z = y ------------(3)

so, from (3) we get, z = y/5 -----------(4)

Putting the value of z from (4) in (2) we get,

$y^{2} = 900$

⇒ y = 30 [since, y > 0] ------------(5)

So, from (5) and (3) we get,

z = 30/5 = 6 ------------------(6)

so, from (1) we get, xyz = $z^{2}$

                                      = $6^{2}$

                                      = 36