Question

There were 100 marbles in bag . The red marbles were double of the yellow marbles. The white marbles were 2 more in number that the red marbles . The blue marbles were 18 more than the green marbles. The green marbles were 5 more than the yellow marbles and 7 less than the white marbles . How many marbles of each colour were there

Answer 1

Let the number of yellow marbles be 'x'.
So, according to the question.
When green marbles are 5 more than the yellow marbles. 
Then, the number of green marbles = (x + 5)
And when, number of blue marbles are 18 more than the number of green marbles, then the number of blue marbles = (x + 5 + 18)
= (x + 23) 
when, red marbles are double the number of yellow marbles. Then, the number of red marbles = 2x
And number of white marbles are 2 more than the number of red marbles. Then, number of white marbles = (2x + 2)
Now, number of total marbles = 100
Therefore,
x + x + 5 + x + 23 + 2x + 2x + 2 = 100
7x + 30 = 100
7x = 100 - 30
x = 70/7
x = 10
So, the number of yellow marbles is 10. 
Number of green marbles = 10 + 5 = 15
Number of blue marbles = 15 + 18 = 33
Number of red marbles = 2*10 = 20
Number of white marbles = 20 + 2 = 22

-ArjunIsCool

Answer 2

let,
the yellow marbles be x
red marbles. be 2x
Green marble. be x+5-7
Blue marble. be x+5+18
White marble. be. 2x+2
x+2x+x+5-7+x+5+18+2x+2=100
7x+23=100
7x=100-23
x=77/7
x=11

yellow= 11
Red. = 22
Green=9
Blue. = 34
White = 24