Arithmetic Reasoning

                          Find no.of balls in Green box

In three coloured boxes - Red, Green and Blue, 108 balls are placed, There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box??

Options::

A)  18                           B)  36                             C)   45                             D)  54

Show/Hide Answer

Answer::Option D

Explanation:: Let R, B. G represents Red, Blue, and Green receptively.

Then  R + G + B = 108 ..(1)
          G + R = 2B  ..(2)
          B = 2R ..(3)
From 2 and 3 we have G + R = 2* 2R = 4R or G = 3R
Putting G = 3R and B = 2R in 1 we get

R + 2R + 3R = 108 by that we get R = 18

Therefore no.of balls in Green box is 3 * 18 = 54.