Question

A vendor packed 96 eggs into three boxes: X, Y and Z. There are twice as many eggs in the Z box as there are in the X box, and twice as many in the X and Y boxes combined as there are in the Z box. How many eggs did he pack in the Y box?
1. 40
2. 48
3. 56
4. 32

Answer 1

Correct Answer - Option 2 : 48

According to question:

X + Y + Z = 96 -------(1)

and, Z = 2X ----------(2)

and, X + Y = 2Z  --------(3)

Put value of Z in equation (1) and (3)

X + Y + Z = 96

2Z + Z = 96

3Z = 96

Z = 32

Put the value of Z in equation (2)

Z = 2X

2X = 32

X = 16

Put the value of X and Z in Equation 1

X + Y + Z = 96 

16 + Y + 32 = 96

Y + 48 = 96

Y = 48

Hence, "48" is the correct answer.