DIRECTIONS for the question: Solve the following question and mark the best possible option.
Amna has three sisters. Amna’s age is equal to the sum of the ages of her three sisters. 8 years hence, her age would be equal to the sum of the ages of the eldest two and 4 years after that her age would be equal to the sum of the ages of the eldest and the youngest sister and again 4 years after that, her age would be equal to the sum of the ages of her two younger sisters. What is the present age of Amna?
A)
24 years
B)
30 years
C)
36 years
D)
48 years
E)
52 years
C
Let present age of Amna be a years
Let present age of 3 sisters be x,y,z such that x>y>z
ATQ,
a = x+y+z ......................1
a+8 = x+y ..........................2
a+12 = x+z .......................... 3
a+16 = y+z ............................4
Adding 2,3 and 4
a+36 = 2(x+y+z)
Substituting this in 1
2a = a+36
a = 36
