(2. A, B and C have 40,
A, B and C have 40, x and y balls with
them respectively. If B gives 20 balls to A,
he is left with half as many balls as C. If
together they had 60 more balls, each of
them would have had 100 balls on an
average. What is the ratio of x to y?
A) 4:3 B) 3:2 C) 2:3 D) 2:5 E) None
Answers
Given : A, B and C have 40, x and y balls with them respectively.
If B gives 20 balls to A, he is left with half as many balls as C.
If together they had 60 more balls, each of them would have had 100 balls on an average.
To Find :
What is the ratio of x to y
A) 4:3 B) 3:2 C) 2:3 D) 2:5 E) None
Solution:
A, B and C have 40, x and y balls
=> Total Balls = 40 + x + y
If together they had 60 more balls, each of them would have had 100 balls on an average.
=> 40 + x + y + 60 = 3 * 100
=> x + y = 200
A = 40
B = x
C = y
x + y = 200
B gives 20 balls to A,
=> B = x - 20
he is left with half as many balls as C
=> x - 20 = y/2
=> 2x - 40 = y
=> 2x - y = 40
x + y = 200
2x - y = 40
=> x = 80 and y = 120
ratio of x to y = 80 : 120
= 2 : 3
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